Question

Find x, if 5^3x+3 = 25^x+4​

Answer 1

$\sf {5}^{3x + 3} = {25}^{x + 4}$

Write 25 in exponential form.

$\sf {5}^{3x + 3} = {5}^{2x + 8}$

$\sf \: 3x + 3 = 2x + 8$

$\sf \: 3x + 3 - 2x = 8$

Collect like terms.

$\sf \: 3x - 2x = 8 - 3$

$\boxed{ \sf \green{ \implies \: x = 5}}$