Log(3)5x=log(5)2x+8

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Solution for Log(3)5x=log(5)2x+8 equation: 


Simplifying
Log(3) * 5x = log(5) * 2x + 8

Reorder the terms for easier multiplication:
3 * 5goL * x = log(5) * 2x + 8

Multiply 3 * 5
15goL * x = log(5) * 2x + 8

Multiply goL * x
15goxL = log(5) * 2x + 8

Reorder the terms for easier multiplication:
15goxL = 5 * 2glo * x + 8

Multiply 5 * 2
15goxL = 10glo * x + 8

Multiply glo * x
15goxL = 10glox + 8

Reorder the terms:
15goxL = 8 + 10glox

Solving
15goxL = 8 + 10glox

Solving for variable 'g'.

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

Add '-10glox' to each side of the equation.
-10glox + 15goxL = 8 + 10glox + -10glox

Combine like terms: 10glox + -10glox = 0
-10glox + 15goxL = 8 + 0
-10glox + 15goxL = 8

Reorder the terms:
-8 + -10glox + 15goxL = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -10glox + 15goxL = 0

The solution to this equation could not be determined.

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