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Simplifying Log(5)(x + 18) + log(5) * x = log(5) * 40 Reorder the terms: goL * 5(18 + x) + log(5) * x = log(5) * 40 Reorder the terms for easier multiplication: 5goL(18 + x) + log(5) * x = log(5) * 40 (18 * 5goL + x * 5goL) + log(5) * x = log(5) * 40 (90goL + 5goxL) + log(5) * x = log(5) * 40 Reorder the terms for easier multiplication: 90goL + 5goxL + 5glo * x = log(5) * 40 Multiply glo * x 90goL + 5goxL + 5glox = log(5) * 40 Reorder the terms: 5glox + 90goL + 5goxL = log(5) * 40 Reorder the terms for easier multiplication: 5glox + 90goL + 5goxL = 5 * 40glo Multiply 5 * 40 5glox + 90goL + 5goxL = 200glo Solving 5glox + 90goL + 5goxL = 200glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-200glo' to each side of the equation. 5glox + 90goL + -200glo + 5goxL = 200glo + -200glo Reorder the terms: -200glo + 5glox + 90goL + 5goxL = 200glo + -200glo Combine like terms: 200glo + -200glo = 0 -200glo + 5glox + 90goL + 5goxL = 0 Factor out the Greatest Common Factor (GCF), '5go'. 5go(-40l + lx + 18L + 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 '(-40l + lx + 18L + xL)' equal to zero and attempt to solve: Simplifying -40l + lx + 18L + xL = 0 Reorder the terms: 18L + -40l + lx + xL = 0 Solving 18L + -40l + lx + xL = 0 Move all terms containing g to the left, all other terms to the right. Add '-18L' to each side of the equation. 18L + -40l + lx + -18L + xL = 0 + -18L Reorder the terms: 18L + -18L + -40l + lx + xL = 0 + -18L Combine like terms: 18L + -18L = 0 0 + -40l + lx + xL = 0 + -18L -40l + lx + xL = 0 + -18L Remove the zero: -40l + lx + xL = -18L Add '40l' to each side of the equation. -40l + lx + 40l + xL = -18L + 40l Reorder the terms: -40l + 40l + lx + xL = -18L + 40l Combine like terms: -40l + 40l = 0 0 + lx + xL = -18L + 40l lx + xL = -18L + 40l Add '-1lx' to each side of the equation. lx + -1lx + xL = -18L + 40l + -1lx Combine like terms: lx + -1lx = 0 0 + xL = -18L + 40l + -1lx xL = -18L + 40l + -1lx Add '-1xL' to each side of the equation. xL + -1xL = -18L + 40l + -1lx + -1xL Combine like terms: xL + -1xL = 0 0 = -18L + 40l + -1lx + -1xL Simplifying 0 = -18L + 40l + -1lx + -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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