Question

What would be the value of $x$ for the equation $5^x=\frac{1}{125}$ ?

• A. -2
• B. -3
• C. 4
• D. 5

Answer 1

The correct option is B -3

$5^x=\frac{1}{125}$
$5^x=5^{-3}\because [\frac{1}{125}=5^{-3}]$
Using laws of exponents, as bases are same, we can equate the exponents of the equation $5^x=5^{-3}$.
$\therefore x=-3$