Question

find the value of n, if 5^2n+1=125?​

Answer 1

Answer:

$5 {}^{2n + 1} = 125$

${5}^{2n + 1} = {5}^{3}$

Put the powers equivalent as the base is same.

$2n + 1 = 3$

$2n = 3 - 1$

$2n = 2$

$n = \frac{2}{2}$

$n = 1$

Hence, the value of n is 1.