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Simplifying Log(8) * 2 + -1log(8)(4x + 6) = log(8) * 50 Reorder the terms for easier multiplication: 8 * 2goL + -1log(8)(4x + 6) = log(8) * 50 Multiply 8 * 2 16goL + -1log(8)(4x + 6) = log(8) * 50 Reorder the terms: 16goL + -1glo * 8(6 + 4x) = log(8) * 50 Reorder the terms for easier multiplication: 16goL + -1 * 8glo(6 + 4x) = log(8) * 50 Multiply -1 * 8 16goL + -8glo(6 + 4x) = log(8) * 50 16goL + (6 * -8glo + 4x * -8glo) = log(8) * 50 16goL + (-48glo + -32glox) = log(8) * 50 Reorder the terms: -48glo + -32glox + 16goL = log(8) * 50 Reorder the terms for easier multiplication: -48glo + -32glox + 16goL = 8 * 50glo Multiply 8 * 50 -48glo + -32glox + 16goL = 400glo Solving -48glo + -32glox + 16goL = 400glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-400glo' to each side of the equation. -48glo + -32glox + -400glo + 16goL = 400glo + -400glo Reorder the terms: -48glo + -400glo + -32glox + 16goL = 400glo + -400glo Combine like terms: -48glo + -400glo = -448glo -448glo + -32glox + 16goL = 400glo + -400glo Combine like terms: 400glo + -400glo = 0 -448glo + -32glox + 16goL = 0 Factor out the Greatest Common Factor (GCF), '16go'. 16go(-28l + -2lx + L) = 0 Ignore the factor 16.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 '(-28l + -2lx + L)' equal to zero and attempt to solve: Simplifying -28l + -2lx + L = 0 Reorder the terms: L + -28l + -2lx = 0 Solving L + -28l + -2lx = 0 Move all terms containing g to the left, all other terms to the right. Add '-1L' to each side of the equation. L + -28l + -1L + -2lx = 0 + -1L Reorder the terms: L + -1L + -28l + -2lx = 0 + -1L Combine like terms: L + -1L = 0 0 + -28l + -2lx = 0 + -1L -28l + -2lx = 0 + -1L Remove the zero: -28l + -2lx = -1L Add '28l' to each side of the equation. -28l + 28l + -2lx = -1L + 28l Combine like terms: -28l + 28l = 0 0 + -2lx = -1L + 28l -2lx = -1L + 28l Add '2lx' to each side of the equation. -2lx + 2lx = -1L + 28l + 2lx Combine like terms: -2lx + 2lx = 0 0 = -1L + 28l + 2lx Simplifying 0 = -1L + 28l + 2lx 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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