Question

The value of $n$ for $5^n=125$ is
.

• A. $2$
• B. $3$
• C. $4$

Answer 1

The correct option is B $3$

Given: $5^n=125$

We know that $125=25\times 5=5\times 5\times 5=5^3$

$\therefore \underset{–}{5^n=125=5^3}$

Hence, if the exponent to the base $5$ is $3$, then we will get $125$.

$\therefore$ The value of $n$ for $5^n=125$ is $\underset{–}{3}$.