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Simplifying log(19) = log(x + 1) + -1log(12) Reorder the terms for easier multiplication: 19glo = log(x + 1) + -1log(12) Reorder the terms: 19glo = glo(1 + x) + -1log(12) 19glo = (1 * glo + x * glo) + -1log(12) 19glo = (1glo + glox) + -1log(12) Reorder the terms for easier multiplication: 19glo = 1glo + glox + -1 * 12glo Multiply -1 * 12 19glo = 1glo + glox + -12glo Reorder the terms: 19glo = 1glo + -12glo + glox Combine like terms: 1glo + -12glo = -11glo 19glo = -11glo + glox Solving 19glo = -11glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11glo' to each side of the equation. 19glo + 11glo = -11glo + 11glo + glox Combine like terms: 19glo + 11glo = 30glo 30glo = -11glo + 11glo + glox Combine like terms: -11glo + 11glo = 0 30glo = 0 + glox 30glo = glox Add '-1glox' to each side of the equation. 30glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 30glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(30 + -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 '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Add 'x' to each side of the equation. -1x + x = -30 + x Combine like terms: -1x + x = 0 0 = -30 + x Simplifying 0 = -30 + 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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