Log(x^2)=log(8x)

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Solution for Log(x^2)=log(8x) equation:


Simplifying
Log(x2) = log(8x)

Multiply goL * x2
gox2L = log(8x)

Remove parenthesis around (8x)
gox2L = glo * 8x

Reorder the terms for easier multiplication:
gox2L = 8glo * x

Multiply glo * x
gox2L = 8glox

Solving
gox2L = 8glox

Solving for variable 'g'.

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

Add '-8glox' to each side of the equation.
-8glox + gox2L = 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
-8glox + gox2L = 0

Factor out the Greatest Common Factor (GCF), 'gox'.
gox(-8l + xL) = 0

Subproblem 1

Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(-8l + xL)' equal to zero and attempt to solve: Simplifying -8l + xL = 0 Solving -8l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '8l' to each side of the equation. -8l + 8l + xL = 0 + 8l Combine like terms: -8l + 8l = 0 0 + xL = 0 + 8l xL = 0 + 8l Remove the zero: xL = 8l Add '-1xL' to each side of the equation. xL + -1xL = 8l + -1xL Combine like terms: xL + -1xL = 0 0 = 8l + -1xL Simplifying 0 = 8l + -1xL 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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