log(8)48-log(8)w=log(8)4

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Solution for log(8)48-log(8)w=log(8)4 equation:


Simplifying
log(8) * 48 + -1log(8) * w = log(8) * 4

Reorder the terms for easier multiplication:
8 * 48glo + -1log(8) * w = log(8) * 4

Multiply 8 * 48
384glo + -1log(8) * w = log(8) * 4

Reorder the terms for easier multiplication:
384glo + -1 * 8glo * w = log(8) * 4

Multiply -1 * 8
384glo + -8glo * w = log(8) * 4

Multiply glo * w
384glo + -8glow = log(8) * 4

Reorder the terms for easier multiplication:
384glo + -8glow = 8 * 4glo

Multiply 8 * 4
384glo + -8glow = 32glo

Solving
384glo + -8glow = 32glo

Solving for variable 'g'.

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

Add '-32glo' to each side of the equation.
384glo + -32glo + -8glow = 32glo + -32glo

Combine like terms: 384glo + -32glo = 352glo
352glo + -8glow = 32glo + -32glo

Combine like terms: 32glo + -32glo = 0
352glo + -8glow = 0

Factor out the Greatest Common Factor (GCF), '8glo'.
8glo(44 + -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 '(44 + -1w)' equal to zero and attempt to solve: Simplifying 44 + -1w = 0 Solving 44 + -1w = 0 Move all terms containing g to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1w = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1w = 0 + -44 -1w = 0 + -44 Combine like terms: 0 + -44 = -44 -1w = -44 Add 'w' to each side of the equation. -1w + w = -44 + w Combine like terms: -1w + w = 0 0 = -44 + w Simplifying 0 = -44 + 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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