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Simplifying Log(3)(x + 8) = log(3)(13) Reorder the terms: goL * 3(8 + x) = log(3)(13) Reorder the terms for easier multiplication: 3goL(8 + x) = log(3)(13) (8 * 3goL + x * 3goL) = log(3)(13) (24goL + 3goxL) = log(3)(13) Reorder the terms for easier multiplication: 24goL + 3goxL = 3 * 13glo Multiply 3 * 13 24goL + 3goxL = 39glo Solving 24goL + 3goxL = 39glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-39glo' to each side of the equation. 24goL + -39glo + 3goxL = 39glo + -39glo Reorder the terms: -39glo + 24goL + 3goxL = 39glo + -39glo Combine like terms: 39glo + -39glo = 0 -39glo + 24goL + 3goxL = 0 Factor out the Greatest Common Factor (GCF), '3go'. 3go(-13l + 8L + xL) = 0 Ignore the factor 3.Subproblem 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 '(-13l + 8L + xL)' equal to zero and attempt to solve: Simplifying -13l + 8L + xL = 0 Reorder the terms: 8L + -13l + xL = 0 Solving 8L + -13l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-8L' to each side of the equation. 8L + -13l + -8L + xL = 0 + -8L Reorder the terms: 8L + -8L + -13l + xL = 0 + -8L Combine like terms: 8L + -8L = 0 0 + -13l + xL = 0 + -8L -13l + xL = 0 + -8L Remove the zero: -13l + xL = -8L Add '13l' to each side of the equation. -13l + 13l + xL = -8L + 13l Combine like terms: -13l + 13l = 0 0 + xL = -8L + 13l xL = -8L + 13l Add '-1xL' to each side of the equation. xL + -1xL = -8L + 13l + -1xL Combine like terms: xL + -1xL = 0 0 = -8L + 13l + -1xL Simplifying 0 = -8L + 13l + -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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