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Simplifying log[5](x + 2) + -1log[5] * 12 = log[5] * 144 Reorder the terms: glo * 5(2 + x) + -1log[5] * 12 = log[5] * 144 Reorder the terms for easier multiplication: 5glo(2 + x) + -1log[5] * 12 = log[5] * 144 (2 * 5glo + x * 5glo) + -1log[5] * 12 = log[5] * 144 (10glo + 5glox) + -1log[5] * 12 = log[5] * 144 Reorder the terms for easier multiplication: 10glo + 5glox + -1 * 5 * 12glo = log[5] * 144 Multiply -1 * 5 10glo + 5glox + -5 * 12glo = log[5] * 144 Multiply -5 * 12 10glo + 5glox + -60glo = log[5] * 144 Reorder the terms: 10glo + -60glo + 5glox = log[5] * 144 Combine like terms: 10glo + -60glo = -50glo -50glo + 5glox = log[5] * 144 Reorder the terms for easier multiplication: -50glo + 5glox = 5 * 144glo Multiply 5 * 144 -50glo + 5glox = 720glo Solving -50glo + 5glox = 720glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-720glo' to each side of the equation. -50glo + -720glo + 5glox = 720glo + -720glo Combine like terms: -50glo + -720glo = -770glo -770glo + 5glox = 720glo + -720glo Combine like terms: 720glo + -720glo = 0 -770glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-154 + 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 '(-154 + x)' equal to zero and attempt to solve: Simplifying -154 + x = 0 Solving -154 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '154' to each side of the equation. -154 + 154 + x = 0 + 154 Combine like terms: -154 + 154 = 0 0 + x = 0 + 154 x = 0 + 154 Combine like terms: 0 + 154 = 154 x = 154 Add '-1x' to each side of the equation. x + -1x = 154 + -1x Combine like terms: x + -1x = 0 0 = 154 + -1x Simplifying 0 = 154 + -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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