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Simplifying log[5](x + 1) + -1log[5](4) = log[5](6) Reorder the terms: glo * 5(1 + x) + -1log[5](4) = log[5](6) Reorder the terms for easier multiplication: 5glo(1 + x) + -1log[5](4) = log[5](6) (1 * 5glo + x * 5glo) + -1log[5](4) = log[5](6) (5glo + 5glox) + -1log[5](4) = log[5](6) Reorder the terms for easier multiplication: 5glo + 5glox + -1 * 5 * 4glo = log[5](6) Multiply -1 * 5 5glo + 5glox + -5 * 4glo = log[5](6) Multiply -5 * 4 5glo + 5glox + -20glo = log[5](6) Reorder the terms: 5glo + -20glo + 5glox = log[5](6) Combine like terms: 5glo + -20glo = -15glo -15glo + 5glox = log[5](6) Reorder the terms for easier multiplication: -15glo + 5glox = 5 * 6glo Multiply 5 * 6 -15glo + 5glox = 30glo Solving -15glo + 5glox = 30glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30glo' to each side of the equation. -15glo + -30glo + 5glox = 30glo + -30glo Combine like terms: -15glo + -30glo = -45glo -45glo + 5glox = 30glo + -30glo Combine like terms: 30glo + -30glo = 0 -45glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-9 + x) = 0 Ignore the factor 5.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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -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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