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Simplifying Log(x + -2) = log(24) Reorder the terms: goL(-2 + x) = log(24) (-2 * goL + x * goL) = log(24) (-2goL + goxL) = log(24) Reorder the terms for easier multiplication: -2goL + goxL = 24glo Solving -2goL + goxL = 24glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-24glo' to each side of the equation. -2goL + -24glo + goxL = 24glo + -24glo Reorder the terms: -24glo + -2goL + goxL = 24glo + -24glo Combine like terms: 24glo + -24glo = 0 -24glo + -2goL + goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-24l + -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 '(-24l + -2L + xL)' equal to zero and attempt to solve: Simplifying -24l + -2L + xL = 0 Reorder the terms: -2L + -24l + xL = 0 Solving -2L + -24l + 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 + -24l + 2L + xL = 0 + 2L Reorder the terms: -2L + 2L + -24l + xL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + -24l + xL = 0 + 2L -24l + xL = 0 + 2L Remove the zero: -24l + xL = 2L Add '24l' to each side of the equation. -24l + 24l + xL = 2L + 24l Combine like terms: -24l + 24l = 0 0 + xL = 2L + 24l xL = 2L + 24l Add '-1xL' to each side of the equation. xL + -1xL = 2L + 24l + -1xL Combine like terms: xL + -1xL = 0 0 = 2L + 24l + -1xL Simplifying 0 = 2L + 24l + -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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