Question

Solve the logarithm: Thanks!

Answer 1

Take note:
(1/25) = 5^(-2)
125 = 5^3

Answer 2

Its clear that 5^-2 = 1/25
further 5^3 = 125, tehrefore 5^-2 = 5^(3(6x+4))
Now just equate the exponents, like -2 = 18 x + 12
which is -14/18 = x

Answer 3

Upon substituting, we will have:
5^-2 = 5^(3(6x+4))
Equate the exponents in the left to the exponent to the left since they have same base. Therefore,
-2 = 3(6x+4)
-2 = 18x + 12
Hence
x = -14/18
And in lowest term
x = -7/9

Answer 4

Okay, thanks!