Question

please provide explaination. ​

Answer 1

Concept

Exponential and Powers

Given

${9}^{2x} = 243$

To Find

Value of x

Formula

$( {x}^{m} )^{n} = {x}^{mn}$

Solving

${9}^{2x} = 243 \\ ( {3}^{2} )^{2x} = {3}^{5} \\ {3}^{4x} = {3}^{5} \\ 4x = 5 \\ x = 5 \div4$

x = 5/4

Answer

So, x = 5/4, which is b option.