Answer
a. $\dfrac {5}{3}$
b. $\approx 2.09$
Work Step by Step
a. The Change of Base Formula states that $\log_b {m} = \dfrac {\log_c {m}}{\log_c {b}}$. In this exercise, $b = 8$, $c = 2$ (a common base), $m = 32$:
$\dfrac {\log_2 {32}}{\log_2 {8}}$
Evaluate this expression using a calculator:
$=\dfrac {5}{3}$
b. The Change of Base Formula states that $\log_b {m} = \dfrac {\log_c {m}}{\log_c {b}}$. In this exercise, $b = 4$, $c = 10$ (a common base), $m = 18$:
$\dfrac {\log {18}}{\log {4}}$
Use a calculator to evaluate this expression:
$\approx 2.09$
