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Simplifying logx = log(48 + -7x) glox = (48 * glo + -7x * glo) glox = (48glo + -7glox) Solving glox = 48glo + -7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48glo' to each side of the equation. -48glo + glox = 48glo + -48glo + -7glox Combine like terms: 48glo + -48glo = 0 -48glo + glox = 0 + -7glox -48glo + glox = -7glox Add '7glox' to each side of the equation. -48glo + glox + 7glox = -7glox + 7glox Combine like terms: glox + 7glox = 8glox -48glo + 8glox = -7glox + 7glox Combine like terms: -7glox + 7glox = 0 -48glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(-6 + x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -1x 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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