Log[5](2x-1)+Log[5](x-1)=1

Solution for Log[5](2x-1)+Log[5](x-1)=1 equation:

Simplifying
Log[5](2x + -1) + Log[5](x + -1) = 1

Reorder the terms:
goL * 5(-1 + 2x) + Log[5](x + -1) = 1

Reorder the terms for easier multiplication:
5goL(-1 + 2x) + Log[5](x + -1) = 1
(-1 * 5goL + 2x * 5goL) + Log[5](x + -1) = 1
(-5goL + 10goxL) + Log[5](x + -1) = 1

Reorder the terms:
-5goL + 10goxL + goL * 5(-1 + x) = 1

Reorder the terms for easier multiplication:
-5goL + 10goxL + 5goL(-1 + x) = 1
-5goL + 10goxL + (-1 * 5goL + x * 5goL) = 1
-5goL + 10goxL + (-5goL + 5goxL) = 1

Reorder the terms:
-5goL + -5goL + 10goxL + 5goxL = 1

Combine like terms: -5goL + -5goL = -10goL
-10goL + 10goxL + 5goxL = 1

Combine like terms: 10goxL + 5goxL = 15goxL
-10goL + 15goxL = 1

Solving
-10goL + 15goxL = 1

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-1 + -10goL + 15goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -10goL + 15goxL = 0

The solution to this equation could not be determined.