log(7x-6)=2logx

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Solution for log(7x-6)=2logx equation: 


Simplifying
log(7x + -6) = 2logx

Reorder the terms:
glo(-6 + 7x) = 2logx
(-6 * glo + 7x * glo) = 2logx
(-6glo + 7glox) = 2logx

Solving
-6glo + 7glox = 2glox

Solving for variable 'g'.

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

Add '-2glox' to each side of the equation.
-6glo + 7glox + -2glox = 2glox + -2glox

Combine like terms: 7glox + -2glox = 5glox
-6glo + 5glox = 2glox + -2glox

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-6 + 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 '(-6 + 5x)' equal to zero and attempt to solve:

Simplifying
-6 + 5x = 0

Solving
-6 + 5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 0 + 6
5x = 0 + 6

Combine like terms: 0 + 6 = 6
5x = 6

Add '-5x' to each side of the equation.
5x + -5x = 6 + -5x

Combine like terms: 5x + -5x = 0
0 = 6 + -5x

Simplifying
0 = 6 + -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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