-3*x*log(6)=(x+4)*log(13)

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Solution for -3*x*log(6)=(x+4)*log(13) equation:


Simplifying
-3x * log(6) = (x + 4) * log(13)

Reorder the terms for easier multiplication:
-3 * 6x * glo = (x + 4) * log(13)

Multiply -3 * 6
-18x * glo = (x + 4) * log(13)

Multiply x * glo
-18glox = (x + 4) * log(13)

Reorder the terms:
-18glox = (4 + x) * log(13)

Reorder the terms for easier multiplication:
-18glox = 13glo(4 + x)
-18glox = (4 * 13glo + x * 13glo)
-18glox = (52glo + 13glox)

Solving
-18glox = 52glo + 13glox

Solving for variable 'g'.

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

Add '-52glo' to each side of the equation.
-52glo + -18glox = 52glo + -52glo + 13glox

Combine like terms: 52glo + -52glo = 0
-52glo + -18glox = 0 + 13glox
-52glo + -18glox = 13glox

Add '-13glox' to each side of the equation.
-52glo + -18glox + -13glox = 13glox + -13glox

Combine like terms: -18glox + -13glox = -31glox
-52glo + -31glox = 13glox + -13glox

Combine like terms: 13glox + -13glox = 0
-52glo + -31glox = 0

Factor out the Greatest Common Factor (GCF), '-1glo'.
-1glo(52 + 31x) = 0

Ignore the factor -1.

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 '(52 + 31x)' equal to zero and attempt to solve: Simplifying 52 + 31x = 0 Solving 52 + 31x = 0 Move all terms containing g to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 31x = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 31x = 0 + -52 31x = 0 + -52 Combine like terms: 0 + -52 = -52 31x = -52 Add '-31x' to each side of the equation. 31x + -31x = -52 + -31x Combine like terms: 31x + -31x = 0 0 = -52 + -31x Simplifying 0 = -52 + -31x 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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