Question

If 5 power 3x+2 =25 x 5 power (4x-1),then find the value of x.

Answer 1

${5}^{3x + 2} = 25 \times {5}^{4x - 1}$

${5}^{3x + 2} = {5}^{2} \times {5}^{4x - 1 } \\ {5}^{3x + 2} = {5}^{2 + 4x - 1} \\ {5}^{3x + 2} = {5}^{4x + 1}$

if base is same then power also same

$3x + 2 = 4x + 1 \\ 3x - 4x = 1 - 2 \\ - x = - 1 \\ x = 1$