logx=log(86)(0.45)

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Solution for logx=log(86)(0.45) equation:


Simplifying
logx = log(86)(0.45)

Reorder the terms for easier multiplication:
glox = 86 * 0.45glo

Multiply 86 * 0.45
glox = 38.7glo

Solving
glox = 38.7glo

Solving for variable 'g'.

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

Add '-38.7glo' to each side of the equation.
-38.7glo + glox = 38.7glo + -38.7glo

Combine like terms: 38.7glo + -38.7glo = 0.0
-38.7glo + glox = 0.0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-38.7 + x) = 0.0

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 '(-38.7 + x)' equal to zero and attempt to solve: Simplifying -38.7 + x = 0 Solving -38.7 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '38.7' to each side of the equation. -38.7 + 38.7 + x = 0 + 38.7 Combine like terms: -38.7 + 38.7 = 0.0 0.0 + x = 0 + 38.7 x = 0 + 38.7 Combine like terms: 0 + 38.7 = 38.7 x = 38.7 Add '-1x' to each side of the equation. x + -1x = 38.7 + -1x Combine like terms: x + -1x = 0 0 = 38.7 + -1x Simplifying 0 = 38.7 + -1x 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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