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Simplifying log(x + 8) = Log(x) + log(8) Reorder the terms: glo(8 + x) = Log(x) + log(8) (8 * glo + x * glo) = Log(x) + log(8) (8glo + glox) = Log(x) + log(8) Multiply goL * x 8glo + glox = goxL + log(8) Reorder the terms for easier multiplication: 8glo + glox = goxL + 8glo Reorder the terms: 8glo + glox = 8glo + goxL Add '-8glo' to each side of the equation. 8glo + -8glo + glox = 8glo + -8glo + goxL Combine like terms: 8glo + -8glo = 0 0 + glox = 8glo + -8glo + goxL glox = 8glo + -8glo + goxL Combine like terms: 8glo + -8glo = 0 glox = 0 + goxL glox = goxL Solving glox = goxL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1goxL' to each side of the equation. glox + -1goxL = goxL + -1goxL Combine like terms: goxL + -1goxL = 0 glox + -1goxL = 0 Factor out the Greatest Common Factor (GCF), 'gox'. gox(l + -1L) = 0Subproblem 1
Set the factor 'gox' equal to zero and attempt to solve: Simplifying gox = 0 Solving gox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gox = 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 '(l + -1L)' equal to zero and attempt to solve: Simplifying l + -1L = 0 Reorder the terms: -1L + l = 0 Solving -1L + l = 0 Move all terms containing g to the left, all other terms to the right. Add 'L' to each side of the equation. -1L + L + l = 0 + L Combine like terms: -1L + L = 0 0 + l = 0 + L l = 0 + L Remove the zero: l = L Add '-1l' to each side of the equation. l + -1l = L + -1l Combine like terms: l + -1l = 0 0 = L + -1l Simplifying 0 = L + -1l 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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