Question

The value of x is 3. Explain with steps.

Answer 1

HELLO.......FRIEND!!

THE ANSWER IS HERE,

$= > \: ({ \frac{3}{5} )}^{x} . ({ \frac{5}{3} })^{2x} = \frac{125}{27}$

$= > \: ({ \frac{5}{3} })^{ - x} . ({ \frac{5}{3} })^{2x} =( { \frac{5}{3} )}^{3}$

$= > \: ( { \frac{5}{3} })^{2x - x} = ({ \frac{5}{3} })^{3}$

Bases are equal so powers are also equal .

=> x=3.

:-)Hope it helps u.

Answer 2

Hi Friend !!!

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$( \frac{3}{5}) ^{x} ( \frac{5}{3}) ^{2x} = \frac{125}{27} \\ \\ (\frac{5}{3} ) ^{ - x} (\frac{5}{3} )^{2x} = (\frac{5}{3} ) ^{3}$
bases are equal exponents must be equal

2x-x = 3

x = 3

hope it helps u:-)