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

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


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

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

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

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

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

Multiply 5 * 2
15goxL = 10glo + log(5) * x + 2

Reorder the terms for easier multiplication:
15goxL = 10glo + 5glo * x + 2

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

Reorder the terms:
15goxL = 2 + 10glo + 5glox

Solving
15goxL = 2 + 10glo + 5glox

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
-10glo + 15goxL = 2 + 10glo + -10glo + 5glox

Combine like terms: 10glo + -10glo = 0
-10glo + 15goxL = 2 + 0 + 5glox
-10glo + 15goxL = 2 + 5glox

Add '-5glox' to each side of the equation.
-10glo + -5glox + 15goxL = 2 + 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-10glo + -5glox + 15goxL = 2 + 0
-10glo + -5glox + 15goxL = 2

Reorder the terms:
-2 + -10glo + -5glox + 15goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -10glo + -5glox + 15goxL = 0

The solution to this equation could not be determined.

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