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Simplifying Log[9](5x) + -1log[9](3) = log[9](65) Remove parenthesis around (5x) goL * 9 * 5x + -1log[9](3) = log[9](65) Reorder the terms for easier multiplication: 9 * 5goL * x + -1log[9](3) = log[9](65) Multiply 9 * 5 45goL * x + -1log[9](3) = log[9](65) Multiply goL * x 45goxL + -1log[9](3) = log[9](65) Reorder the terms for easier multiplication: 45goxL + -1 * 9 * 3glo = log[9](65) Multiply -1 * 9 45goxL + -9 * 3glo = log[9](65) Multiply -9 * 3 45goxL + -27glo = log[9](65) Reorder the terms: -27glo + 45goxL = log[9](65) Reorder the terms for easier multiplication: -27glo + 45goxL = 9 * 65glo Multiply 9 * 65 -27glo + 45goxL = 585glo Solving -27glo + 45goxL = 585glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-585glo' to each side of the equation. -27glo + -585glo + 45goxL = 585glo + -585glo Combine like terms: -27glo + -585glo = -612glo -612glo + 45goxL = 585glo + -585glo Combine like terms: 585glo + -585glo = 0 -612glo + 45goxL = 0 Factor out the Greatest Common Factor (GCF), '9go'. 9go(-68l + 5xL) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-68l + 5xL)' equal to zero and attempt to solve: Simplifying -68l + 5xL = 0 Solving -68l + 5xL = 0 Move all terms containing g to the left, all other terms to the right. Add '68l' to each side of the equation. -68l + 68l + 5xL = 0 + 68l Combine like terms: -68l + 68l = 0 0 + 5xL = 0 + 68l 5xL = 0 + 68l Remove the zero: 5xL = 68l Add '-5xL' to each side of the equation. 5xL + -5xL = 68l + -5xL Combine like terms: 5xL + -5xL = 0 0 = 68l + -5xL Simplifying 0 = 68l + -5xL 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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