# Chapter 4, Exponential and Logarithmic Functions - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 388: 43

(a) $x=2$ (b) $x=4$

#### Work Step by Step

(a) We are given: $\log_{x}16=4$ This means: $x^{4}=16$ $x=\pm \sqrt[4]{16}=\pm 2$ $x=2$ (a log base can't be negative) (b) $\log_{x}8=\frac{3}{2}$ This means: $x^{3/2}=8$ $x=8^{2/3}=4$

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