log(7-6x)=2*log(x)

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


Simplifying
log(7 + -6x) = 2log(x)
(7 * glo + -6x * glo) = 2log(x)
(7glo + -6glox) = 2log(x)

Multiply glo * x
7glo + -6glox = 2glox

Solving
7glo + -6glox = 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.
7glo + -6glox + -2glox = 2glox + -2glox

Combine like terms: -6glox + -2glox = -8glox
7glo + -8glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
7glo + -8glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(7 + -8x) = 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 '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Add '8x' to each side of the equation.
-8x + 8x = -7 + 8x

Combine like terms: -8x + 8x = 0
0 = -7 + 8x

Simplifying
0 = -7 + 8x

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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