Log[12](6x+54)-Log[12](x)=1

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Solution for Log[12](6x+54)-Log[12](x)=1 equation: 


Simplifying
Log[12](6x + 54) + -1Log[12](x) = 1

Reorder the terms:
goL * 12(54 + 6x) + -1Log[12](x) = 1

Reorder the terms for easier multiplication:
12goL(54 + 6x) + -1Log[12](x) = 1
(54 * 12goL + 6x * 12goL) + -1Log[12](x) = 1
(648goL + 72goxL) + -1Log[12](x) = 1

Reorder the terms for easier multiplication:
648goL + 72goxL + -1 * 12goL * x = 1

Multiply -1 * 12
648goL + 72goxL + -12goL * x = 1

Multiply goL * x
648goL + 72goxL + -12goxL = 1

Combine like terms: 72goxL + -12goxL = 60goxL
648goL + 60goxL = 1

Solving
648goL + 60goxL = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 648goL + 60goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 648goL + 60goxL = 0

The solution to this equation could not be determined.

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