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Simplifying Log(8x + -7) = log(2x + 23) Reorder the terms: goL(-7 + 8x) = log(2x + 23) (-7 * goL + 8x * goL) = log(2x + 23) (-7goL + 8goxL) = log(2x + 23) Reorder the terms: -7goL + 8goxL = glo(23 + 2x) -7goL + 8goxL = (23 * glo + 2x * glo) -7goL + 8goxL = (23glo + 2glox) Solving -7goL + 8goxL = 23glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-23glo' to each side of the equation. -7goL + -23glo + 8goxL = 23glo + -23glo + 2glox Reorder the terms: -23glo + -7goL + 8goxL = 23glo + -23glo + 2glox Combine like terms: 23glo + -23glo = 0 -23glo + -7goL + 8goxL = 0 + 2glox -23glo + -7goL + 8goxL = 2glox Add '-2glox' to each side of the equation. -23glo + -7goL + -2glox + 8goxL = 2glox + -2glox Reorder the terms: -23glo + -2glox + -7goL + 8goxL = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -23glo + -2glox + -7goL + 8goxL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-23l + -2lx + -7L + 8xL) = 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 '(-23l + -2lx + -7L + 8xL)' equal to zero and attempt to solve: Simplifying -23l + -2lx + -7L + 8xL = 0 Reorder the terms: -7L + -23l + -2lx + 8xL = 0 Solving -7L + -23l + -2lx + 8xL = 0 Move all terms containing g to the left, all other terms to the right. Add '7L' to each side of the equation. -7L + -23l + -2lx + 7L + 8xL = 0 + 7L Reorder the terms: -7L + 7L + -23l + -2lx + 8xL = 0 + 7L Combine like terms: -7L + 7L = 0 0 + -23l + -2lx + 8xL = 0 + 7L -23l + -2lx + 8xL = 0 + 7L Remove the zero: -23l + -2lx + 8xL = 7L Add '23l' to each side of the equation. -23l + -2lx + 23l + 8xL = 7L + 23l Reorder the terms: -23l + 23l + -2lx + 8xL = 7L + 23l Combine like terms: -23l + 23l = 0 0 + -2lx + 8xL = 7L + 23l -2lx + 8xL = 7L + 23l Add '2lx' to each side of the equation. -2lx + 2lx + 8xL = 7L + 23l + 2lx Combine like terms: -2lx + 2lx = 0 0 + 8xL = 7L + 23l + 2lx 8xL = 7L + 23l + 2lx Add '-8xL' to each side of the equation. 8xL + -8xL = 7L + 23l + 2lx + -8xL Combine like terms: 8xL + -8xL = 0 0 = 7L + 23l + 2lx + -8xL Simplifying 0 = 7L + 23l + 2lx + -8xL 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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