Determine the function value.
-Suppose $f ( x ) = \log _ { a } x$ and $f ( 5 ) = 2$. Find $f ( 25 )$
A) 4
B) 2
C) $- 4$
D) 8

Name: Determine the function value. -Suppose $f ( x ) = \log _ { a } x$ and $f ( 5 ) = 2$. Find $f ( 25 )$ A) 4 B) 2 C) $- 4$ D) 8
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Question

Quizplus · Accepted Answer

Given $f(5) = 2$, this means $\log_a(5) = 2$, implying $a^2 = 5$. To find $f(25)$, we need $\log_a(25)$. Since $25 = 5^2$, and we know $a^2 = 5$, then $25 = (a^2)^2 = a^4$. Therefore, $\log_a(25) = 4$.

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