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Simplifying Log(2)(x + 1) = log(9)(6x) Reorder the terms: goL * 2(1 + x) = log(9)(6x) Reorder the terms for easier multiplication: 2goL(1 + x) = log(9)(6x) (1 * 2goL + x * 2goL) = log(9)(6x) (2goL + 2goxL) = log(9)(6x) Remove parenthesis around (6x) 2goL + 2goxL = glo * 9 * 6x Reorder the terms for easier multiplication: 2goL + 2goxL = 9 * 6glo * x Multiply 9 * 6 2goL + 2goxL = 54glo * x Multiply glo * x 2goL + 2goxL = 54glox Solving 2goL + 2goxL = 54glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-54glox' to each side of the equation. 2goL + -54glox + 2goxL = 54glox + -54glox Reorder the terms: -54glox + 2goL + 2goxL = 54glox + -54glox Combine like terms: 54glox + -54glox = 0 -54glox + 2goL + 2goxL = 0 Factor out the Greatest Common Factor (GCF), '2go'. 2go(-27lx + L + xL) = 0 Ignore the factor 2.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 '(-27lx + L + xL)' equal to zero and attempt to solve: Simplifying -27lx + L + xL = 0 Reorder the terms: L + -27lx + xL = 0 Solving L + -27lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -27lx + -1L + xL = 0 + -1L Reorder the terms: L + -1L + -27lx + xL = 0 + -1L Combine like terms: L + -1L = 0 0 + -27lx + xL = 0 + -1L -27lx + xL = 0 + -1L Remove the zero: -27lx + xL = -1L Add '27lx' to each side of the equation. -27lx + 27lx + xL = -1L + 27lx Combine like terms: -27lx + 27lx = 0 0 + xL = -1L + 27lx xL = -1L + 27lx Add '-1xL' to each side of the equation. xL + -1xL = -1L + 27lx + -1xL Combine like terms: xL + -1xL = 0 0 = -1L + 27lx + -1xL Simplifying 0 = -1L + 27lx + -1xL 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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