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Simplifying Log(3)(X + -6) = log(9) * x Reorder the terms: goL * 3(-6 + X) = log(9) * x Reorder the terms for easier multiplication: 3goL(-6 + X) = log(9) * x (-6 * 3goL + X * 3goL) = log(9) * x (-18goL + 3goLX) = log(9) * x Reorder the terms for easier multiplication: -18goL + 3goLX = 9glo * x Multiply glo * x -18goL + 3goLX = 9glox Solving -18goL + 3goLX = 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glox' to each side of the equation. -18goL + -9glox + 3goLX = 9glox + -9glox Reorder the terms: -9glox + -18goL + 3goLX = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -9glox + -18goL + 3goLX = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-3lx + -6L + LX) = 0 Ignore the factor 3.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 '(-3lx + -6L + LX)' equal to zero and attempt to solve: Simplifying -3lx + -6L + LX = 0 Reorder the terms: -6L + LX + -3lx = 0 Solving -6L + LX + -3lx = 0 Move all terms containing g to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + LX + 6L + -3lx = 0 + 6L Reorder the terms: -6L + 6L + LX + -3lx = 0 + 6L Combine like terms: -6L + 6L = 0 0 + LX + -3lx = 0 + 6L LX + -3lx = 0 + 6L Remove the zero: LX + -3lx = 6L Add '-1LX' to each side of the equation. LX + -1LX + -3lx = 6L + -1LX Combine like terms: LX + -1LX = 0 0 + -3lx = 6L + -1LX -3lx = 6L + -1LX Add '3lx' to each side of the equation. -3lx + 3lx = 6L + -1LX + 3lx Combine like terms: -3lx + 3lx = 0 0 = 6L + -1LX + 3lx Simplifying 0 = 6L + -1LX + 3lx 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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