Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set - Page 700: 37

$x=0$

Work Step by Step

Let $\log_{4}{1} = x$ RECALL: $\log_b{y} =x \longrightarrow b^x=y$ Use the rule above, where $y=1$ and $b=4$, to obtain: $4^x=1$ Write 1 as $4^0$ to obtain: $4^x=4^0$ Use the rule "If $a^x=a^y$, then $x=y$" to obtain: $x=0$

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