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B_W4: Quiz #1
Intro to Logarithms (15 questions)
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1.
Write 6x = 36 as a logarithmic function.
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A.
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log636 = x
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B.
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logx6 = 36
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C.
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log36x = 6
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D.
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log6x = 36
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2.
Write in logarithmic form.
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3.
Write y = 2x as a logarithmic function.
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A.
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log2x = y
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B.
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logx2 = y
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C.
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logy2 = x
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D.
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log2y = x
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4.
Write as a logarithmic function.
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5.
Write as a logarithmic function.
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6.
Write log101000 = 3 in exponential form.
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A.
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102 = 1000
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B.
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103 = 1000
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C.
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D.
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7.
Write log636 = 2 in exponential form.
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A.
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62 = 36
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B.
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36 = 26
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C.
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362 = 6
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D.
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366 = 2
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8.
Write log12144 = 2 in exponential form.
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A.
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B.
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122 = 144
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C.
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212 = 144
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D.
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9.
Write in exponential form.
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10.
Write log9729 = 3 in exponential form.
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A.
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92 = 729
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B.
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C.
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D.
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93 = 729
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14.
Solve: .
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A.
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x = –9
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B.
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x = –27
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C.
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D.
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15.
Solve: .
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A.
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x = 25
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B.
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x = -10
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C.
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D.
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B_W4: Quiz #2
Properties & Solving Logarithms (12 questions)
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1.
Which of the following is an example of a logarithmic function?
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A.
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y = sin(x)
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B.
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y = 4x
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C.
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y = log103
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D.
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y = x4
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2.
Write log48 + log43 as a single logarithm.
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A.
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log48
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B.
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log43
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C.
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log424
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D.
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![log base 4 of eight-thirds]()
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3.
Write log315 - log310 as a single logarithm.
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A.
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log33
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B.
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![log base 3 of three-halves]()
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C.
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log32
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D.
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log33 - log32
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4.
Write in expanded form: ![https://reactor.iqity.net/content.spr?contentId=e9434d92-e0f6-4e86-9c7a-25a24eba6664]() .
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5.
Write as a single logarithm: ![https://reactor.iqity.net/content.spr?contentId=21d9780e-7586-4cee-9a19-12b57994ce04]() .
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6.
What is the first step in solving this logarithmic equation: log3(2x-1) = log3(5x)
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A.
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6x - 3 = 15x
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B.
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2x - 1 = 5x
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C.
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log (6x-3) = log(15x)
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D.
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log (2x-1) = log(5x)
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7.
What is the first step in solving this logarithmic equation: log 3 + log (x + 1) = log (2x + 4)
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A.
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x + 1 = 2x + 4
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B.
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3 + x + 1 = 2x + 4
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C.
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log 3(x + 1) = log (2x + 4)
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D.
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log (3 + x + 1) = log (2x + 4)
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8.
Solve: ![https://reactor.iqity.net/content.spr?contentId=693f472b-effc-4666-99bc-ce94f86fa25e]() .
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A.
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x = –9
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B.
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x = –27
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C.
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![https://reactor.iqity.net/content.spr?contentId=6114704f-a3aa-41a2-8268-861d9356f616]()
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D.
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![https://reactor.iqity.net/content.spr?contentId=1525e2d6-b3c3-4e2b-9812-66ea078c7cb5]()
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9.
Solve: ![https://reactor.iqity.net/content.spr?contentId=005f3faa-ee94-417e-bfe8-80b733dc3c56]() .
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A.
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x = 18
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B.
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x = 4
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C.
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![https://reactor.iqity.net/content.spr?contentId=6e10855b-3784-430e-ab3e-79d1c94755e6]()
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D.
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![https://reactor.iqity.net/content.spr?contentId=14bee776-4daf-47ae-8db8-6fcace5026fc]()
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10.
Solve: ![https://reactor.iqity.net/content.spr?contentId=9c87876c-f84b-48df-b307-6ea37fdae3f4]() .
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11.
Solve: ![https://reactor.iqity.net/content.spr?contentId=1610b972-d81a-4e66-8acf-7b5adac3c162]() .
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A.
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![https://reactor.iqity.net/content.spr?contentId=b28d7658-2130-4e52-b027-c831b912ea48]()
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B.
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![https://reactor.iqity.net/content.spr?contentId=ae7de1ca-4956-4db9-81cc-e8a68305b33e]()
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C.
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x = 4
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D.
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x = 1
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12.
Solve: ![https://reactor.iqity.net/content.spr?contentId=810d70d1-3756-4c38-977f-ccd358cb0f92]() .
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A.
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x = 14
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B.
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x = 15.33
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C.
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x = 12.67
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D.
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x = 16
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B_W4: Quiz #3
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Graphing Logarithmic Functions (10 questions)
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1.
The inverse of an exponential function is the logarithmic function.
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2.
Which of the following is an example of a logarithmic function?
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A.
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y = sin(x)
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B.
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y = 4x
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C.
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y = log103
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D.
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y = x4
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3.
The function f(x) = 7x is a logarithmic function.
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4. What is the domain of the log function below?
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A.
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All real numbers
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B.
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x < -2
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C.
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x > -2
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D.
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x > 0
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5. What is the range of the log function below?
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A.
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All real numbers
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B.
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y < 3
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C.
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y > 0
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D.
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x > -2
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6.
Which of the following is the graph of ![https://reactor.iqity.net/content.spr?contentId=40cd4f30-38a8-4408-97d0-63cb6ff5df9e]() ?
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7.
Which of the following is the graph of ![https://reactor.iqity.net/content.spr?contentId=b143ff48-5c90-43c7-9fb3-0698bd08a641]() ?
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8. Which equation matches the graph shown below?
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A.
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f(x)=log(x)+3
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B.
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f(x)=log(x)−3
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C.
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f(x)=log(x+3)
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D.
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f(x)=log(x−3)
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9. Which equation matches the graph shown below?
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A.
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f(x)=log(x)−2
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B.
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f(x)=log(x)+2
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C.
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f(x)=log(x−2)
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D.
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f(x)=log(x+2)
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10. Which equation matches the graph shown below?
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A.
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f(x)=log(x−1)+1
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B.
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f(x)=log(x+1)−1
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C.
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f(x)=log(x−1)−1
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D.
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f(x)=log(x+1)+1
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