Question

if
${(81)}^{5 n } = 243$
Find n

Answer 1

${(81)}^{5 n } = 243$

${(3^4)}^{5 n } = 3^5$

$3^{20n } = 3^5$

Since both the base number is 3, match the power:

$20n = 5$

$n = \dfrac{5}{20}$

$n = \dfrac{1}{4}$

Answer: n = 1/4