Question

find the value of x when 3/5 to the power x multiply 5/3 to the power 2x = 125/27

Answer 1

here is your answer

Answer 2

Answer:

The value of x is 3

Step-by-step explanation:

we have to find the value of x if

$(\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27}$

The equation is

$(\frac{3}{5})^x\times (\frac{5}{3})^{2x}=\frac{125}{27}$

$(\frac{5}{3})^{-x}\times (\frac{5}{3})^{2x}=\frac{125}{27}$

$(\frac{5}{3})^{x}=\frac{125}{27}$

$(\frac{5}{3})^{x}=(\frac{5}{3})^3$

Comparing, we get

x=3

The value of x is 3 i.e x=3