# Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises: 10

a.) $5^{-1} = \frac{1}{5}$ b.) $4^3 = 64$

#### Work Step by Step

$Express$ $the$ $equation$ $in$ $exponential$ $form:$ a.) $\log_5 (\frac{1}{5}) = -1$ b.) $\log_4 64 = 3$ Logarithmic form to exponential form: $\log_b a = c \rightarrow b^c = a$ a.) $\log_5 (\frac{1}{5}) = -1$ Plug in 5 for b, $\frac{1}{5}$ for a, and -1 for c $\log_5 (\frac{1}{5}) = -1 \rightarrow 5^{-1} = \frac{1}{5}$ b.) $\log_4 64 = 3$ Plug in 4 for b, 64 for a, and 3 for c $\log_4 64 = 3 \rightarrow 4^3 = 64$

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