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Simplifying Log(x + 2) = log(x) + log(12) Reorder the terms: goL(2 + x) = log(x) + log(12) (2 * goL + x * goL) = log(x) + log(12) (2goL + goxL) = log(x) + log(12) Multiply glo * x 2goL + goxL = glox + log(12) Reorder the terms for easier multiplication: 2goL + goxL = glox + 12glo Reorder the terms: 2goL + goxL = 12glo + glox Solving 2goL + goxL = 12glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12glo' to each side of the equation. 2goL + -12glo + goxL = 12glo + -12glo + glox Reorder the terms: -12glo + 2goL + goxL = 12glo + -12glo + glox Combine like terms: 12glo + -12glo = 0 -12glo + 2goL + goxL = 0 + glox -12glo + 2goL + goxL = glox Add '-1glox' to each side of the equation. -12glo + 2goL + -1glox + goxL = glox + -1glox Reorder the terms: -12glo + -1glox + 2goL + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -12glo + -1glox + 2goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-12l + -1lx + 2L + xL) = 0Subproblem 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 '(-12l + -1lx + 2L + xL)' equal to zero and attempt to solve: Simplifying -12l + -1lx + 2L + xL = 0 Reorder the terms: 2L + -12l + -1lx + xL = 0 Solving 2L + -12l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -12l + -1lx + -2L + xL = 0 + -2L Reorder the terms: 2L + -2L + -12l + -1lx + xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -12l + -1lx + xL = 0 + -2L -12l + -1lx + xL = 0 + -2L Remove the zero: -12l + -1lx + xL = -2L Add '12l' to each side of the equation. -12l + -1lx + 12l + xL = -2L + 12l Reorder the terms: -12l + 12l + -1lx + xL = -2L + 12l Combine like terms: -12l + 12l = 0 0 + -1lx + xL = -2L + 12l -1lx + xL = -2L + 12l Add 'lx' to each side of the equation. -1lx + lx + xL = -2L + 12l + lx Combine like terms: -1lx + lx = 0 0 + xL = -2L + 12l + lx xL = -2L + 12l + lx Add '-1xL' to each side of the equation. xL + -1xL = -2L + 12l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -2L + 12l + lx + -1xL Simplifying 0 = -2L + 12l + lx + -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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