Change the exponential expression to an equivalent expression involving a logarithm.
-$\log _ { 5 } x = 3$
A) $5 ^ { 3 } = x$
B) $3 ^ { 5 } = x$
C) $5 ^ { x } = 3$
D) $x ^ { 3 } = 5$

Question

Quizplus · Accepted Answer

The correct transformation from the given logarithmic equation $\log _ { 5 } x = 3$ to an exponential form is $5 ^ { 3 } = x$, according to the definition of logarithms, which states that if $\log_b a = c$, then $b^c = a$.

Change the Exponential Expression to an Equivalent Expression Involving a Logarithm