2logx=log(6x-5)

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Solution for 2logx=log(6x-5) equation: 


Simplifying
2logx = log(6x + -5)

Reorder the terms:
2glox = glo(-5 + 6x)
2glox = (-5 * glo + 6x * glo)
2glox = (-5glo + 6glox)

Solving
2glox = -5glo + 6glox

Solving for variable 'g'.

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

Add '5glo' to each side of the equation.
5glo + 2glox = -5glo + 5glo + 6glox

Combine like terms: -5glo + 5glo = 0
5glo + 2glox = 0 + 6glox
5glo + 2glox = 6glox

Add '-6glox' to each side of the equation.
5glo + 2glox + -6glox = 6glox + -6glox

Combine like terms: 2glox + -6glox = -4glox
5glo + -4glox = 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
5glo + -4glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Add '4x' to each side of the equation.
-4x + 4x = -5 + 4x

Combine like terms: -4x + 4x = 0
0 = -5 + 4x

Simplifying
0 = -5 + 4x

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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