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Simplifying log[2](x + 72) = 2log[2](x) Reorder the terms: glo * 2(72 + x) = 2log[2](x) Reorder the terms for easier multiplication: 2glo(72 + x) = 2log[2](x) (72 * 2glo + x * 2glo) = 2log[2](x) (144glo + 2glox) = 2log[2](x) Reorder the terms for easier multiplication: 144glo + 2glox = 2 * 2glo * x Multiply 2 * 2 144glo + 2glox = 4glo * x Multiply glo * x 144glo + 2glox = 4glox Solving 144glo + 2glox = 4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glox' to each side of the equation. 144glo + 2glox + -4glox = 4glox + -4glox Combine like terms: 2glox + -4glox = -2glox 144glo + -2glox = 4glox + -4glox Combine like terms: 4glox + -4glox = 0 144glo + -2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(72 + -1x) = 0 Ignore the factor 2.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 '(72 + -1x)' equal to zero and attempt to solve: Simplifying 72 + -1x = 0 Solving 72 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -1x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -1x = 0 + -72 -1x = 0 + -72 Combine like terms: 0 + -72 = -72 -1x = -72 Add 'x' to each side of the equation. -1x + x = -72 + x Combine like terms: -1x + x = 0 0 = -72 + x Simplifying 0 = -72 + x 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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