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Simplifying log(x + 25) = 1log(2x + -7) Reorder the terms: glo(25 + x) = 1log(2x + -7) (25 * glo + x * glo) = 1log(2x + -7) (25glo + glox) = 1log(2x + -7) Reorder the terms: 25glo + glox = 1glo(-7 + 2x) 25glo + glox = (-7 * 1glo + 2x * 1glo) 25glo + glox = (-7glo + 2glox) Solving 25glo + glox = -7glo + 2glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '7glo' to each side of the equation. 25glo + 7glo + glox = -7glo + 7glo + 2glox Combine like terms: 25glo + 7glo = 32glo 32glo + glox = -7glo + 7glo + 2glox Combine like terms: -7glo + 7glo = 0 32glo + glox = 0 + 2glox 32glo + glox = 2glox Add '-2glox' to each side of the equation. 32glo + glox + -2glox = 2glox + -2glox Combine like terms: glox + -2glox = -1glox 32glo + -1glox = 2glox + -2glox Combine like terms: 2glox + -2glox = 0 32glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(32 + -1x) = 0Subproblem 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 '(32 + -1x)' equal to zero and attempt to solve: Simplifying 32 + -1x = 0 Solving 32 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -1x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 0 + -32 -1x = 0 + -32 Combine like terms: 0 + -32 = -32 -1x = -32 Add 'x' to each side of the equation. -1x + x = -32 + x Combine like terms: -1x + x = 0 0 = -32 + x Simplifying 0 = -32 + x 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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