Answer:
x = -3/2
Step-by-step explanation:
note: 1/125 can be written as 5 exponent -3 thus, 5^-3
Expressing it in this form, we can rewrite the above equation as
5^2x = 5^-3
As part of the laws of indices and logarithms, when the bases are the same and they are equating, You equate only the exponents
therefore, we have;
2x = -3
divide through by 2
x = -3/2
