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Simplifying log(9)(7x) = log(9)(2) + log(x2 + -2) Remove parenthesis around (7x) glo * 9 * 7x = log(9)(2) + log(x2 + -2) Reorder the terms for easier multiplication: 9 * 7glo * x = log(9)(2) + log(x2 + -2) Multiply 9 * 7 63glo * x = log(9)(2) + log(x2 + -2) Multiply glo * x 63glox = log(9)(2) + log(x2 + -2) Reorder the terms for easier multiplication: 63glox = 9 * 2glo + log(x2 + -2) Multiply 9 * 2 63glox = 18glo + log(x2 + -2) Reorder the terms: 63glox = 18glo + glo(-2 + x2) 63glox = 18glo + (-2 * glo + x2 * glo) 63glox = 18glo + (-2glo + glox2) Combine like terms: 18glo + -2glo = 16glo 63glox = 16glo + glox2 Solving 63glox = 16glo + glox2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-16glo' to each side of the equation. -16glo + 63glox = 16glo + -16glo + glox2 Combine like terms: 16glo + -16glo = 0 -16glo + 63glox = 0 + glox2 -16glo + 63glox = glox2 Add '-1glox2' to each side of the equation. -16glo + 63glox + -1glox2 = glox2 + -1glox2 Combine like terms: glox2 + -1glox2 = 0 -16glo + 63glox + -1glox2 = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-16 + 63x + -1x2) = 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 '(-16 + 63x + -1x2)' equal to zero and attempt to solve: Simplifying -16 + 63x + -1x2 = 0 Solving -16 + 63x + -1x2 = 0 Move all terms containing g to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 63x + 16 + -1x2 = 0 + 16 Reorder the terms: -16 + 16 + 63x + -1x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 63x + -1x2 = 0 + 16 63x + -1x2 = 0 + 16 Combine like terms: 0 + 16 = 16 63x + -1x2 = 16 Add '-63x' to each side of the equation. 63x + -63x + -1x2 = 16 + -63x Combine like terms: 63x + -63x = 0 0 + -1x2 = 16 + -63x -1x2 = 16 + -63x Add 'x2' to each side of the equation. -1x2 + x2 = 16 + -63x + x2 Combine like terms: -1x2 + x2 = 0 0 = 16 + -63x + x2 Simplifying 0 = 16 + -63x + x2 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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