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Simplifying log[2](4x) = log[2](x + 15) Remove parenthesis around (4x) glo * 2 * 4x = log[2](x + 15) Reorder the terms for easier multiplication: 2 * 4glo * x = log[2](x + 15) Multiply 2 * 4 8glo * x = log[2](x + 15) Multiply glo * x 8glox = log[2](x + 15) Reorder the terms: 8glox = glo * 2(15 + x) Reorder the terms for easier multiplication: 8glox = 2glo(15 + x) 8glox = (15 * 2glo + x * 2glo) 8glox = (30glo + 2glox) Solving 8glox = 30glo + 2glox 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. -30glo + 8glox = 30glo + -30glo + 2glox Combine like terms: 30glo + -30glo = 0 -30glo + 8glox = 0 + 2glox -30glo + 8glox = 2glox Add '-2glox' to each side of the equation. -30glo + 8glox + -2glox = 2glox + -2glox Combine like terms: 8glox + -2glox = 6glox -30glo + 6glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -30glo + 6glox = 0 Factor out the Greatest Common Factor (GCF), '6glo'. 6glo(-5 + x) = 0 Ignore the factor 6.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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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