Question

(5/3)^2x (3/5)^4x=81/625 find the value of x​

Answer 1

Given, Expression

$\rm{(\dfrac{5}{3})^2^x*(\dfrac{3}{5})^4^x=\dfrac{81}{625}}$

Solution:-

$\rm{\implies (\dfrac{3}{5})^-2^x*(\dfrac{3}{5})^4^x=(\dfrac{3}{5})^4}$

$\rm{\implies (\dfrac{3}{5})^-2x+4x=(\dfrac{3}{5})^4}$

$\rm{\implies -2x+4x=4}$

$\rm{\implies \cancel{2}x=\cancel{4}}$

$\rm\purple{\implies x=2}$

Therefore,

• The value of X=2

Answer 2

X=2

It will be the answer