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