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Simplifying Log(8)(4x) + -1log(8)(4) = log(8) * 56 Remove parenthesis around (4x) goL * 8 * 4x + -1log(8)(4) = log(8) * 56 Reorder the terms for easier multiplication: 8 * 4goL * x + -1log(8)(4) = log(8) * 56 Multiply 8 * 4 32goL * x + -1log(8)(4) = log(8) * 56 Multiply goL * x 32goxL + -1log(8)(4) = log(8) * 56 Reorder the terms for easier multiplication: 32goxL + -1 * 8 * 4glo = log(8) * 56 Multiply -1 * 8 32goxL + -8 * 4glo = log(8) * 56 Multiply -8 * 4 32goxL + -32glo = log(8) * 56 Reorder the terms: -32glo + 32goxL = log(8) * 56 Reorder the terms for easier multiplication: -32glo + 32goxL = 8 * 56glo Multiply 8 * 56 -32glo + 32goxL = 448glo Solving -32glo + 32goxL = 448glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-448glo' to each side of the equation. -32glo + -448glo + 32goxL = 448glo + -448glo Combine like terms: -32glo + -448glo = -480glo -480glo + 32goxL = 448glo + -448glo Combine like terms: 448glo + -448glo = 0 -480glo + 32goxL = 0 Factor out the Greatest Common Factor (GCF), '32go'. 32go(-15l + xL) = 0 Ignore the factor 32.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 '(-15l + xL)' equal to zero and attempt to solve: Simplifying -15l + xL = 0 Solving -15l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '15l' to each side of the equation. -15l + 15l + xL = 0 + 15l Combine like terms: -15l + 15l = 0 0 + xL = 0 + 15l xL = 0 + 15l Remove the zero: xL = 15l Add '-1xL' to each side of the equation. xL + -1xL = 15l + -1xL Combine like terms: xL + -1xL = 0 0 = 15l + -1xL Simplifying 0 = 15l + -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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