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Simplifying Log[5](3x + 2) + -1log[5](8) = 0 Reorder the terms: goL * 5(2 + 3x) + -1log[5](8) = 0 Reorder the terms for easier multiplication: 5goL(2 + 3x) + -1log[5](8) = 0 (2 * 5goL + 3x * 5goL) + -1log[5](8) = 0 (10goL + 15goxL) + -1log[5](8) = 0 Reorder the terms for easier multiplication: 10goL + 15goxL + -1 * 5 * 8glo = 0 Multiply -1 * 5 10goL + 15goxL + -5 * 8glo = 0 Multiply -5 * 8 10goL + 15goxL + -40glo = 0 Reorder the terms: -40glo + 10goL + 15goxL = 0 Solving -40glo + 10goL + 15goxL = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5go'. 5go(-8l + 2L + 3xL) = 0 Ignore the factor 5.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 '(-8l + 2L + 3xL)' equal to zero and attempt to solve: Simplifying -8l + 2L + 3xL = 0 Reorder the terms: 2L + -8l + 3xL = 0 Solving 2L + -8l + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -8l + -2L + 3xL = 0 + -2L Reorder the terms: 2L + -2L + -8l + 3xL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -8l + 3xL = 0 + -2L -8l + 3xL = 0 + -2L Remove the zero: -8l + 3xL = -2L Add '8l' to each side of the equation. -8l + 8l + 3xL = -2L + 8l Combine like terms: -8l + 8l = 0 0 + 3xL = -2L + 8l 3xL = -2L + 8l Add '-3xL' to each side of the equation. 3xL + -3xL = -2L + 8l + -3xL Combine like terms: 3xL + -3xL = 0 0 = -2L + 8l + -3xL Simplifying 0 = -2L + 8l + -3xL 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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