Determine the function value.
-Suppose $f ( x ) = \log _ { a } x$ and $f ( 7 ) = 2$. Find $f ( 49 )$.
A) 8
B) $- 4$
C) 4
D) 2

Name: Determine the function value. -Suppose $f ( x ) = \log _ { a } x$ and $f ( 7 ) = 2$. Find $f ( 49 )$. A) 8 B) $- 4$ C) 4 D) 2
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Question

Quizplus · Accepted Answer

Given $f(7) = 2$, this means $\log_a(7) = 2$, implying $a^2 = 7$. For $f(49)$, we have $f(49) = \log_a(49)$. Since $49 = 7^2$, we can rewrite this as $\log_a(7^2)$. Using the power rule of logarithms, this becomes $2\log_a(7) = 2 \times 2 = 4$.

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