2log[x]-log[7]=log[112]

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Solution for 2log[x]-log[7]=log[112] equation: 


Simplifying
2log[x] + -1log[7] = log[112]

Multiply glo * x
2glox + -1log[7] = log[112]

Reorder the terms for easier multiplication:
2glox + -1 * 7glo = log[112]

Multiply -1 * 7
2glox + -7glo = log[112]

Reorder the terms:
-7glo + 2glox = log[112]

Reorder the terms for easier multiplication:
-7glo + 2glox = 112glo

Solving
-7glo + 2glox = 112glo

Solving for variable 'g'.

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

Add '-112glo' to each side of the equation.
-7glo + -112glo + 2glox = 112glo + -112glo

Combine like terms: -7glo + -112glo = -119glo
-119glo + 2glox = 112glo + -112glo

Combine like terms: 112glo + -112glo = 0
-119glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-119 + 2x) = 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 '(-119 + 2x)' equal to zero and attempt to solve:

Simplifying
-119 + 2x = 0

Solving
-119 + 2x = 0

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

Add '119' to each side of the equation.
-119 + 119 + 2x = 0 + 119

Combine like terms: -119 + 119 = 0
0 + 2x = 0 + 119
2x = 0 + 119

Combine like terms: 0 + 119 = 119
2x = 119

Add '-2x' to each side of the equation.
2x + -2x = 119 + -2x

Combine like terms: 2x + -2x = 0
0 = 119 + -2x

Simplifying
0 = 119 + -2x

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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