log(5)+log(6)=log(x)

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Solution for log(5)+log(6)=log(x) equation:


Simplifying
log(5) + log(6) = log(x)

Reorder the terms for easier multiplication:
5glo + log(6) = log(x)

Reorder the terms for easier multiplication:
5glo + 6glo = log(x)

Combine like terms: 5glo + 6glo = 11glo
11glo = log(x)

Multiply glo * x
11glo = glox

Solving
11glo = glox

Solving for variable 'g'.

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

Add '-1glox' to each side of the equation.
11glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
11glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(11 + -1x) = 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 '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Add 'x' to each side of the equation. -1x + x = -11 + x Combine like terms: -1x + x = 0 0 = -11 + x Simplifying 0 = -11 + x 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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