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Simplifying Log[12](3) = log[12](3x) Reorder the terms for easier multiplication: 12 * 3goL = log[12](3x) Multiply 12 * 3 36goL = log[12](3x) Remove parenthesis around (3x) 36goL = glo * 12 * 3x Reorder the terms for easier multiplication: 36goL = 12 * 3glo * x Multiply 12 * 3 36goL = 36glo * x Multiply glo * x 36goL = 36glox Solving 36goL = 36glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-36glox' to each side of the equation. -36glox + 36goL = 36glox + -36glox Combine like terms: 36glox + -36glox = 0 -36glox + 36goL = 0 Factor out the Greatest Common Factor (GCF), '36go'. 36go(-1lx + L) = 0 Ignore the factor 36.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 '(-1lx + L)' equal to zero and attempt to solve: Simplifying -1lx + L = 0 Reorder the terms: L + -1lx = 0 Solving L + -1lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -1L + -1lx = 0 + -1L Combine like terms: L + -1L = 0 0 + -1lx = 0 + -1L -1lx = 0 + -1L Remove the zero: -1lx = -1L Add 'lx' to each side of the equation. -1lx + lx = -1L + lx Combine like terms: -1lx + lx = 0 0 = -1L + lx Simplifying 0 = -1L + lx 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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