Question

Find x , if 5^x = 1/5....​

Answer 1

Solution :-

Finding x

$5x {}^{2} = \frac{1}{5} \: \: \: \: \: \\ x {}^{2} = \frac{1}{5 \times 5} \\ x {}^{2} = \frac{1}{25} \: \: \: \: \:$

Taking square root

$x = \frac{1}{5 }$

Verification :-

$5x {}^{2} = \frac{1}{5} \: \: \: \: \\ 5( \frac{1}{5} ) {}^{2} = \frac{1}{5} \\ 5( \frac{1}{25} ) = \frac{1}{5} \\ \frac{5}{25} = \frac{1}{5} \\ \frac{1}{5} = \frac{1}{5}$

Hence Verified !