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