log*(2x-5)+log*(3x+7)=4*log*2

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Solution for log*(2x-5)+log*(3x+7)=4*log*2 equation: 


Simplifying
log(2x + -5) + log(3x + 7) = 4log * 2

Reorder the terms:
glo(-5 + 2x) + log(3x + 7) = 4log * 2
(-5 * glo + 2x * glo) + log(3x + 7) = 4log * 2
(-5glo + 2glox) + log(3x + 7) = 4log * 2

Reorder the terms:
-5glo + 2glox + glo(7 + 3x) = 4log * 2
-5glo + 2glox + (7 * glo + 3x * glo) = 4log * 2
-5glo + 2glox + (7glo + 3glox) = 4log * 2

Reorder the terms:
-5glo + 7glo + 2glox + 3glox = 4log * 2

Combine like terms: -5glo + 7glo = 2glo
2glo + 2glox + 3glox = 4log * 2

Combine like terms: 2glox + 3glox = 5glox
2glo + 5glox = 4log * 2

Reorder the terms for easier multiplication:
2glo + 5glox = 4 * 2glo

Multiply 4 * 2
2glo + 5glox = 8glo

Solving
2glo + 5glox = 8glo

Solving for variable 'g'.

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

Add '-8glo' to each side of the equation.
2glo + -8glo + 5glox = 8glo + -8glo

Combine like terms: 2glo + -8glo = -6glo
-6glo + 5glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 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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