-2log(8)5=log(8)x

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Solution for -2log(8)5=log(8)x equation:


Simplifying
-2log(8) * 5 = log(8) * x

Reorder the terms for easier multiplication:
-2 * 8 * 5glo = log(8) * x

Multiply -2 * 8
-16 * 5glo = log(8) * x

Multiply -16 * 5
-80glo = log(8) * x

Reorder the terms for easier multiplication:
-80glo = 8glo * x

Multiply glo * x
-80glo = 8glox

Solving
-80glo = 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.
-80glo + -8glox = 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
-80glo + -8glox = 0

Factor out the Greatest Common Factor (GCF), '-8glo'.
-8glo(10 + x) = 0

Ignore the factor -8.

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