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Simplifying Log[5] * x + -1log[5] * 15 = log[5] * 2 Reorder the terms for easier multiplication: 5goL * x + -1log[5] * 15 = log[5] * 2 Multiply goL * x 5goxL + -1log[5] * 15 = log[5] * 2 Reorder the terms for easier multiplication: 5goxL + -1 * 5 * 15glo = log[5] * 2 Multiply -1 * 5 5goxL + -5 * 15glo = log[5] * 2 Multiply -5 * 15 5goxL + -75glo = log[5] * 2 Reorder the terms: -75glo + 5goxL = log[5] * 2 Reorder the terms for easier multiplication: -75glo + 5goxL = 5 * 2glo Multiply 5 * 2 -75glo + 5goxL = 10glo Solving -75glo + 5goxL = 10glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. -75glo + -10glo + 5goxL = 10glo + -10glo Combine like terms: -75glo + -10glo = -85glo -85glo + 5goxL = 10glo + -10glo Combine like terms: 10glo + -10glo = 0 -85glo + 5goxL = 0 Factor out the Greatest Common Factor (GCF), '5go'. 5go(-17l + xL) = 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 '(-17l + xL)' equal to zero and attempt to solve: Simplifying -17l + xL = 0 Solving -17l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '17l' to each side of the equation. -17l + 17l + xL = 0 + 17l Combine like terms: -17l + 17l = 0 0 + xL = 0 + 17l xL = 0 + 17l Remove the zero: xL = 17l Add '-1xL' to each side of the equation. xL + -1xL = 17l + -1xL Combine like terms: xL + -1xL = 0 0 = 17l + -1xL Simplifying 0 = 17l + -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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