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Simplifying Log(x + 11) = log(x) + log(11) Reorder the terms: goL(11 + x) = log(x) + log(11) (11 * goL + x * goL) = log(x) + log(11) (11goL + goxL) = log(x) + log(11) Multiply glo * x 11goL + goxL = glox + log(11) Reorder the terms for easier multiplication: 11goL + goxL = glox + 11glo Reorder the terms: 11goL + goxL = 11glo + glox Solving 11goL + goxL = 11glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-11glo' to each side of the equation. 11goL + -11glo + goxL = 11glo + -11glo + glox Reorder the terms: -11glo + 11goL + goxL = 11glo + -11glo + glox Combine like terms: 11glo + -11glo = 0 -11glo + 11goL + goxL = 0 + glox -11glo + 11goL + goxL = glox Add '-1glox' to each side of the equation. -11glo + 11goL + -1glox + goxL = glox + -1glox Reorder the terms: -11glo + -1glox + 11goL + goxL = glox + -1glox Combine like terms: glox + -1glox = 0 -11glo + -1glox + 11goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-11l + -1lx + 11L + 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 '(-11l + -1lx + 11L + xL)' equal to zero and attempt to solve: Simplifying -11l + -1lx + 11L + xL = 0 Reorder the terms: 11L + -11l + -1lx + xL = 0 Solving 11L + -11l + -1lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-11L' to each side of the equation. 11L + -11l + -1lx + -11L + xL = 0 + -11L Reorder the terms: 11L + -11L + -11l + -1lx + xL = 0 + -11L Combine like terms: 11L + -11L = 0 0 + -11l + -1lx + xL = 0 + -11L -11l + -1lx + xL = 0 + -11L Remove the zero: -11l + -1lx + xL = -11L Add '11l' to each side of the equation. -11l + -1lx + 11l + xL = -11L + 11l Reorder the terms: -11l + 11l + -1lx + xL = -11L + 11l Combine like terms: -11l + 11l = 0 0 + -1lx + xL = -11L + 11l -1lx + xL = -11L + 11l Add 'lx' to each side of the equation. -1lx + lx + xL = -11L + 11l + lx Combine like terms: -1lx + lx = 0 0 + xL = -11L + 11l + lx xL = -11L + 11l + lx Add '-1xL' to each side of the equation. xL + -1xL = -11L + 11l + lx + -1xL Combine like terms: xL + -1xL = 0 0 = -11L + 11l + lx + -1xL Simplifying 0 = -11L + 11l + 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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