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Simplifying Log[x] = log[3.5] + 3log[2.6] + -1log[13] Multiply goL * x goxL = log[3.5] + 3log[2.6] + -1log[13] Reorder the terms for easier multiplication: goxL = 3.5glo + 3log[2.6] + -1log[13] Reorder the terms for easier multiplication: goxL = 3.5glo + 3 * 2.6glo + -1log[13] Multiply 3 * 2.6 goxL = 3.5glo + 7.8glo + -1log[13] Reorder the terms for easier multiplication: goxL = 3.5glo + 7.8glo + -1 * 13glo Multiply -1 * 13 goxL = 3.5glo + 7.8glo + -13glo Combine like terms: 3.5glo + 7.8glo = 11.3glo goxL = 11.3glo + -13glo Combine like terms: 11.3glo + -13glo = -1.7glo goxL = -1.7glo Solving goxL = -1.7glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '1.7glo' to each side of the equation. 1.7glo + goxL = -1.7glo + 1.7glo Combine like terms: -1.7glo + 1.7glo = 0.0 1.7glo + goxL = 0.0 Factor out the Greatest Common Factor (GCF), 'go'. go(1.7l + xL) = 0.0Subproblem 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 '(1.7l + xL)' equal to zero and attempt to solve: Simplifying 1.7l + xL = 0 Solving 1.7l + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-1.7l' to each side of the equation. 1.7l + -1.7l + xL = 0 + -1.7l Combine like terms: 1.7l + -1.7l = 0.0 0.0 + xL = 0 + -1.7l xL = 0 + -1.7l Remove the zero: xL = -1.7l Add '-1xL' to each side of the equation. xL + -1xL = -1.7l + -1xL Combine like terms: xL + -1xL = 0 0 = -1.7l + -1xL Simplifying 0 = -1.7l + -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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