If $\mathrm { f } ( \mathrm { x } ) = \log _ { 3 } x$, find $\mathrm { f } \left( 3 ^ { 2 } \right)$.
A) $\log _ { 2 } x$
B) 3
C) 6
D) 2

Question

Quizplus · Accepted Answer

The function $f(x) = \log_3 x$ applied to $3^2$ is $f(3^2) = \log_3 3^2$. The logarithm of a number is the exponent to which the base must be raised to produce that number. Therefore, $\log_3 3^2 = 2$, because $3^2 = 9$, and you need to raise 3 to the power of 2 to get 9.

If f(x)=log⁡3x\mathrm { f } ( \mathrm { x } ) = \log _ { 3 } xf(x)=log3​x

If $\mathrm { f } ( \mathrm { x } ) = \log _ { 3 } x$