Question

please answer me please with step​

Answer 1

Answer:

x = 2

Step-by-step explanation:

Given,

${( \frac{3}{5}) }^{4x + 1} \times {( \frac{3}{5}) }^{ - 2} = {( \frac{3}{5}) }^{13} \div {( \frac{3}{5}) }^{6}$

$= > {( \frac{3}{5}) }^{4x + 1 + ( - 2)} = {( \frac{3}{5}) }^{13 - 6}$

$= > {( \frac{3}{5}) }^{4x - 1} = {( \frac{3}{5}) }^{7}$

Since,

Bases are same

Therefore,

=> 4x - 1 = 7

=> 4x = 7 + 1

=> 4x = 8

=> x = 8/4

=> x = 2 (Ans)