Log[5](2-4x)=1

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Solution for Log[5](2-4x)=1 equation: 


Simplifying
Log[5](2 + -4x) = 1

Reorder the terms for easier multiplication:
5goL(2 + -4x) = 1
(2 * 5goL + -4x * 5goL) = 1
(10goL + -20goxL) = 1

Solving
10goL + -20goxL = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 10goL + -20goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10goL + -20goxL = 0

The solution to this equation could not be determined.

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