Question

find x.

please explain step by step ​

Answer 1

$\huge\color{orange}\star \: \tt\pink{Answer} \: \star$

${3}^{2x + 1} \div 9 = 27$

Write the number in exponential form with base 3.

${3}^{2x + 1} \div {3}^{2} = {3}^{3}$

${3}^{2x - 1} = {3}^{3}$

Since bases are same so we equate powers

$2x - 1 = 3$

$2x = 3 + 1$

$2x = 4$

$x = \frac{4}{2}$

$x = 2$

hope it helps you.....✌