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Simplifying Log(4)(5x + 9) = Log(4) * 14 Reorder the terms: goL * 4(9 + 5x) = Log(4) * 14 Reorder the terms for easier multiplication: 4goL(9 + 5x) = Log(4) * 14 (9 * 4goL + 5x * 4goL) = Log(4) * 14 (36goL + 20goxL) = Log(4) * 14 Reorder the terms for easier multiplication: 36goL + 20goxL = 4 * 14goL Multiply 4 * 14 36goL + 20goxL = 56goL Solving 36goL + 20goxL = 56goL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-56goL' to each side of the equation. 36goL + -56goL + 20goxL = 56goL + -56goL Combine like terms: 36goL + -56goL = -20goL -20goL + 20goxL = 56goL + -56goL Combine like terms: 56goL + -56goL = 0 -20goL + 20goxL = 0 Factor out the Greatest Common Factor (GCF), '20goL'. 20goL(-1 + x) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'goL' equal to zero and attempt to solve: Simplifying goL = 0 Solving goL = 0 Move all terms containing g to the left, all other terms to the right. Simplifying goL = 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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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