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Simplifying log(4)(5x + -3) + log(4)(9 + -1x) = 0 Reorder the terms: glo * 4(-3 + 5x) + log(4)(9 + -1x) = 0 Reorder the terms for easier multiplication: 4glo(-3 + 5x) + log(4)(9 + -1x) = 0 (-3 * 4glo + 5x * 4glo) + log(4)(9 + -1x) = 0 (-12glo + 20glox) + log(4)(9 + -1x) = 0 Reorder the terms for easier multiplication: -12glo + 20glox + 4glo(9 + -1x) = 0 -12glo + 20glox + (9 * 4glo + -1x * 4glo) = 0 -12glo + 20glox + (36glo + -4glox) = 0 Reorder the terms: -12glo + 36glo + 20glox + -4glox = 0 Combine like terms: -12glo + 36glo = 24glo 24glo + 20glox + -4glox = 0 Combine like terms: 20glox + -4glox = 16glox 24glo + 16glox = 0 Solving 24glo + 16glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(3 + 2x) = 0 Ignore the factor 8.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 '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Add '-2x' to each side of the equation. 2x + -2x = -3 + -2x Combine like terms: 2x + -2x = 0 0 = -3 + -2x Simplifying 0 = -3 + -2x 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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