5log(x)=8log(6)

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Solution for 5log(x)=8log(6) equation: 


Simplifying
5log(x) = 8log(6)

Multiply glo * x
5glox = 8log(6)

Reorder the terms for easier multiplication:
5glox = 8 * 6glo

Multiply 8 * 6
5glox = 48glo

Solving
5glox = 48glo

Solving for variable 'g'.

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

Add '-48glo' to each side of the equation.
-48glo + 5glox = 48glo + -48glo

Combine like terms: 48glo + -48glo = 0
-48glo + 5glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-48 + 5x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-48 + 5x)' equal to zero and attempt to solve:

Simplifying
-48 + 5x = 0

Solving
-48 + 5x = 0

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

Add '48' to each side of the equation.
-48 + 48 + 5x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 5x = 0 + 48
5x = 0 + 48

Combine like terms: 0 + 48 = 48
5x = 48

Add '-5x' to each side of the equation.
5x + -5x = 48 + -5x

Combine like terms: 5x + -5x = 0
0 = 48 + -5x

Simplifying
0 = 48 + -5x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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