Evaluate the function $f ( x ) = \log _ { 5 } x$ at $x = \frac { 1 } { 25 }$ without using a calculator.
A) $\frac { 1 } { 25 }$
B)-3
C)-1
D)25
E)-2

Question

Quizplus · Accepted Answer

The function $f(x) = \log_5 x$ evaluated at $x = \frac{1}{25}$ can be rewritten as $\log_5 \left(\frac{1}{25}\right)$ or $\log_5 (5^{-2})$. According to the logarithmic identity $\log_b (b^x) = x$, this simplifies to $-2$.

Evaluate the Function f(x)=log⁡5xf ( x ) = \log _ { 5 } xf(x)=log5​x

Evaluate the Function $f ( x ) = \log _ { 5 } x$