Question

( 1/25) ka pawar 2x+3 = 125 na pawar 9x+8. Find the value of x

Answer 1

$x = \frac{ - 30}{31}$

Step-by-step explanation:

$Given, \: \: ( \frac{1}{25} )^{2x + 3} = {125}^{9x + 8} \\ ({5}^{ - 2} )^{2x + 3} = ({5}^{3} )^{9x + 8} \\ {5}^{ - 4x - 6} = {5}^{27x + 24} \\ - 4x - 6 = 27x + 24 \\ 27x + 4x = - 6 - 24 \\ 31x = - 30 \\ x = \frac{ - 30}{31}$