Question

Solve: (5*125^x)/(25^(2x+1)*625)=1/5

Please show the working. Thank you. ​

Answer 1

{5^(3x+1)} / {5^(4x+7)}) = 5^-1

Since base is same, we can write equation as,

(3x + 1) / (4x + 7) = -1

3x + 1 = -4x - 7

7x = -8

x = -8/7