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Simplifying log(3)(5x + -3) = log(3)(8x + 9) Reorder the terms: glo * 3(-3 + 5x) = log(3)(8x + 9) Reorder the terms for easier multiplication: 3glo(-3 + 5x) = log(3)(8x + 9) (-3 * 3glo + 5x * 3glo) = log(3)(8x + 9) (-9glo + 15glox) = log(3)(8x + 9) Reorder the terms: -9glo + 15glox = glo * 3(9 + 8x) Reorder the terms for easier multiplication: -9glo + 15glox = 3glo(9 + 8x) -9glo + 15glox = (9 * 3glo + 8x * 3glo) -9glo + 15glox = (27glo + 24glox) Solving -9glo + 15glox = 27glo + 24glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27glo' to each side of the equation. -9glo + -27glo + 15glox = 27glo + -27glo + 24glox Combine like terms: -9glo + -27glo = -36glo -36glo + 15glox = 27glo + -27glo + 24glox Combine like terms: 27glo + -27glo = 0 -36glo + 15glox = 0 + 24glox -36glo + 15glox = 24glox Add '-24glox' to each side of the equation. -36glo + 15glox + -24glox = 24glox + -24glox Combine like terms: 15glox + -24glox = -9glox -36glo + -9glox = 24glox + -24glox Combine like terms: 24glox + -24glox = 0 -36glo + -9glox = 0 Factor out the Greatest Common Factor (GCF), '-9glo'. -9glo(4 + x) = 0 Ignore the factor -9.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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