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Simplifying Log(5) * 7 + log(8) * x = log(5) * 56 Reorder the terms for easier multiplication: 5 * 7goL + log(8) * x = log(5) * 56 Multiply 5 * 7 35goL + log(8) * x = log(5) * 56 Reorder the terms for easier multiplication: 35goL + 8glo * x = log(5) * 56 Multiply glo * x 35goL + 8glox = log(5) * 56 Reorder the terms: 8glox + 35goL = log(5) * 56 Reorder the terms for easier multiplication: 8glox + 35goL = 5 * 56glo Multiply 5 * 56 8glox + 35goL = 280glo Solving 8glox + 35goL = 280glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-280glo' to each side of the equation. 8glox + -280glo + 35goL = 280glo + -280glo Reorder the terms: -280glo + 8glox + 35goL = 280glo + -280glo Combine like terms: 280glo + -280glo = 0 -280glo + 8glox + 35goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-280l + 8lx + 35L) = 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 '(-280l + 8lx + 35L)' equal to zero and attempt to solve: Simplifying -280l + 8lx + 35L = 0 Reorder the terms: 35L + -280l + 8lx = 0 Solving 35L + -280l + 8lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-35L' to each side of the equation. 35L + -280l + -35L + 8lx = 0 + -35L Reorder the terms: 35L + -35L + -280l + 8lx = 0 + -35L Combine like terms: 35L + -35L = 0 0 + -280l + 8lx = 0 + -35L -280l + 8lx = 0 + -35L Remove the zero: -280l + 8lx = -35L Add '280l' to each side of the equation. -280l + 280l + 8lx = -35L + 280l Combine like terms: -280l + 280l = 0 0 + 8lx = -35L + 280l 8lx = -35L + 280l Add '-8lx' to each side of the equation. 8lx + -8lx = -35L + 280l + -8lx Combine like terms: 8lx + -8lx = 0 0 = -35L + 280l + -8lx Simplifying 0 = -35L + 280l + -8lx 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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