Question

$5^4=625$ can also be expressed as

• A. $lo{g}_{4}5=625$
• B. $lo{g}_{5}625=4$
• C. $lo{g}_{4}625=5$
• D. $\sqrt[4]{4625}=5$

Answer 1

Answer: (B), (D)

The correct options are
B

$lo{g}_{5}625=4$

D

$\sqrt[4]{4625}=5$

If $y=a^b$, then $b=lo{g}_{a}y$

b is logarithm of y to the base a.

So, $lo{g}_{5}625=4$ is solution.

Also, $5^4=625⟺5={625}^{\frac{1}{4}}⟺\sqrt[4]{4625}=5$