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Simplifying log(4x) + -1log(5) = log(8) Remove parenthesis around (4x) glo * 4x + -1log(5) = log(8) Reorder the terms for easier multiplication: 4glo * x + -1log(5) = log(8) Multiply glo * x 4glox + -1log(5) = log(8) Reorder the terms for easier multiplication: 4glox + -1 * 5glo = log(8) Multiply -1 * 5 4glox + -5glo = log(8) Reorder the terms: -5glo + 4glox = log(8) Reorder the terms for easier multiplication: -5glo + 4glox = 8glo Solving -5glo + 4glox = 8glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. -5glo + -8glo + 4glox = 8glo + -8glo Combine like terms: -5glo + -8glo = -13glo -13glo + 4glox = 8glo + -8glo Combine like terms: 8glo + -8glo = 0 -13glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-13 + 4x) = 0Subproblem 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 '(-13 + 4x)' equal to zero and attempt to solve: Simplifying -13 + 4x = 0 Solving -13 + 4x = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 4x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 0 + 13 4x = 0 + 13 Combine like terms: 0 + 13 = 13 4x = 13 Add '-4x' to each side of the equation. 4x + -4x = 13 + -4x Combine like terms: 4x + -4x = 0 0 = 13 + -4x Simplifying 0 = 13 + -4x 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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