log(8)48-log(8)w=log(8)6

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Solution for log(8)48-log(8)w=log(8)6 equation:


Simplifying
log(8) * 48 + -1log(8) * w = log(8) * 6

Reorder the terms for easier multiplication:
8 * 48glo + -1log(8) * w = log(8) * 6

Multiply 8 * 48
384glo + -1log(8) * w = log(8) * 6

Reorder the terms for easier multiplication:
384glo + -1 * 8glo * w = log(8) * 6

Multiply -1 * 8
384glo + -8glo * w = log(8) * 6

Multiply glo * w
384glo + -8glow = log(8) * 6

Reorder the terms for easier multiplication:
384glo + -8glow = 8 * 6glo

Multiply 8 * 6
384glo + -8glow = 48glo

Solving
384glo + -8glow = 48glo

Solving for variable 'g'.

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

Add '-48glo' to each side of the equation.
384glo + -48glo + -8glow = 48glo + -48glo

Combine like terms: 384glo + -48glo = 336glo
336glo + -8glow = 48glo + -48glo

Combine like terms: 48glo + -48glo = 0
336glo + -8glow = 0

Factor out the Greatest Common Factor (GCF), '8glo'.
8glo(42 + -1w) = 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 '(42 + -1w)' equal to zero and attempt to solve: Simplifying 42 + -1w = 0 Solving 42 + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -1w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1w = 0 + -42 -1w = 0 + -42 Combine like terms: 0 + -42 = -42 -1w = -42 Add 'w' to each side of the equation. -1w + w = -42 + w Combine like terms: -1w + w = 0 0 = -42 + w Simplifying 0 = -42 + w 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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