log(20)=log(5)+log(x)

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Solution for log(20)=log(5)+log(x) equation:


Simplifying
log(20) = log(5) + log(x)

Reorder the terms for easier multiplication:
20glo = log(5) + log(x)

Reorder the terms for easier multiplication:
20glo = 5glo + log(x)

Multiply glo * x
20glo = 5glo + glox

Solving
20glo = 5glo + glox

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
20glo + -5glo = 5glo + -5glo + glox

Combine like terms: 20glo + -5glo = 15glo
15glo = 5glo + -5glo + glox

Combine like terms: 5glo + -5glo = 0
15glo = 0 + glox
15glo = glox

Add '-1glox' to each side of the equation.
15glo + -1glox = glox + -1glox

Combine like terms: glox + -1glox = 0
15glo + -1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Add 'x' to each side of the equation. -1x + x = -15 + x Combine like terms: -1x + x = 0 0 = -15 + x Simplifying 0 = -15 + 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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