Question

if
${125}^{x} = \frac{25}{ {5}^{x} }^{} \: find \: x$
​

Answer 1

125^x = 25/5^x

5^3x = 5²/5^x

5^3x = 5^(2 - x)

3x = 2 - x. { a^m = a^n, then,m=n}

3x + x = 2

4x = 2

x = 2/4= 1/2

Answer 2

Here is your answer✌️✌️

$125^x=25/5^x$

$25^25x=25^1$

$25x=1$

$X=1/25$

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