Log[3](4x-5)-log[3](X+3)=1

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Solution for Log[3](4x-5)-log[3](X+3)=1 equation:


Simplifying
Log[3](4x + -5) + -1log[3](X + 3) = 1

Reorder the terms:
goL * 3(-5 + 4x) + -1log[3](X + 3) = 1

Reorder the terms for easier multiplication:
3goL(-5 + 4x) + -1log[3](X + 3) = 1
(-5 * 3goL + 4x * 3goL) + -1log[3](X + 3) = 1
(-15goL + 12goxL) + -1log[3](X + 3) = 1

Reorder the terms:
-15goL + 12goxL + -1glo * 3(3 + X) = 1

Reorder the terms for easier multiplication:
-15goL + 12goxL + -1 * 3glo(3 + X) = 1

Multiply -1 * 3
-15goL + 12goxL + -3glo(3 + X) = 1
-15goL + 12goxL + (3 * -3glo + X * -3glo) = 1
-15goL + 12goxL + (-9glo + -3gloX) = 1

Reorder the terms:
-9glo + -3gloX + -15goL + 12goxL = 1

Solving
-9glo + -3gloX + -15goL + 12goxL = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -9glo + -3gloX + -15goL + 12goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -9glo + -3gloX + -15goL + 12goxL = 0

The solution to this equation could not be determined.

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