Question

find the value of x . (3/5)^x×(5/3)^2x=125/26​

Answer 1

Answer:

x= 3

Step-by-step explanation:

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

When bases are same, then we equate powers

$\huge \tt \to \red{ - x + 2x = 3} \\ \\ \huge \tt \to \red{x = 3}$

HOPE IT HELPS ☺️