Math 107 help

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MTH 107 Quiz 11 (Not to Turn-in)

Name:____________________

Instructions: Write your answers in the space provided. You must show all of your work for full credit. Use techniques learned in class when possible. Points are awarded based on the quality of your work. Have Fun. (1) Explain the following. Assume you are explaining this to someone who knows a little about exponentials. (a) Explain what the logarithmic function f(x) = log5(x) means. (b) Explain what log4(2048) tells us. (2) Simplify as much as possible.

10 log2(x + 3) + 2 log2(x − 4) + log5(x + 1) − log5(3x + 8)

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(3) Solve the following for x: (a) 11(2x−3) = 22 (b) log2(5x) = 15 (c) x4 = 10