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

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


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

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

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

Solving
-5goL + 10goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -5goL + 10goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -5goL + 10goxL = 0

The solution to this equation could not be determined.

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