log(x^2-25)=log(10x)

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Solution for log(x^2-25)=log(10x) equation:


Simplifying
log(x2 + -25) = log(10x)

Reorder the terms:
glo(-25 + x2) = log(10x)
(-25 * glo + x2 * glo) = log(10x)
(-25glo + glox2) = log(10x)

Remove parenthesis around (10x)
-25glo + glox2 = glo * 10x

Reorder the terms for easier multiplication:
-25glo + glox2 = 10glo * x

Multiply glo * x
-25glo + glox2 = 10glox

Solving
-25glo + glox2 = 10glox

Solving for variable 'g'.

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

Add '-10glox' to each side of the equation.
-25glo + -10glox + glox2 = 10glox + -10glox

Combine like terms: 10glox + -10glox = 0
-25glo + -10glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-25 + -10x + x2) = 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 '(-25 + -10x + x2)' equal to zero and attempt to solve: Simplifying -25 + -10x + x2 = 0 Solving -25 + -10x + x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -10x + 25 + x2 = 0 + 25 Reorder the terms: -25 + 25 + -10x + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + -10x + x2 = 0 + 25 -10x + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 -10x + x2 = 25 Add '10x' to each side of the equation. -10x + 10x + x2 = 25 + 10x Combine like terms: -10x + 10x = 0 0 + x2 = 25 + 10x x2 = 25 + 10x Add '-1x2' to each side of the equation. x2 + -1x2 = 25 + 10x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 25 + 10x + -1x2 Simplifying 0 = 25 + 10x + -1x2 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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