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Simplifying log(x2) + log(x6) = 3log(11x) Multiply glo * x2 glox2 + log(x6) = 3log(11x) Multiply glo * x6 glox2 + glox6 = 3log(11x) Remove parenthesis around (11x) glox2 + glox6 = 3glo * 11x Reorder the terms for easier multiplication: glox2 + glox6 = 3 * 11glo * x Multiply 3 * 11 glox2 + glox6 = 33glo * x Multiply glo * x glox2 + glox6 = 33glox Solving glox2 + glox6 = 33glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-33glox' to each side of the equation. glox2 + -33glox + glox6 = 33glox + -33glox Reorder the terms: -33glox + glox2 + glox6 = 33glox + -33glox Combine like terms: 33glox + -33glox = 0 -33glox + glox2 + glox6 = 0 Factor out the Greatest Common Factor (GCF), 'glox'. glox(-33 + x + x5) = 0Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve: Simplifying glox = 0 Solving glox = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glox = 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 '(-33 + x + x5)' equal to zero and attempt to solve: Simplifying -33 + x + x5 = 0 Solving -33 + x + x5 = 0 Move all terms containing g to the left, all other terms to the right. Add '33' to each side of the equation. -33 + x + 33 + x5 = 0 + 33 Reorder the terms: -33 + 33 + x + x5 = 0 + 33 Combine like terms: -33 + 33 = 0 0 + x + x5 = 0 + 33 x + x5 = 0 + 33 Combine like terms: 0 + 33 = 33 x + x5 = 33 Add '-1x' to each side of the equation. x + -1x + x5 = 33 + -1x Combine like terms: x + -1x = 0 0 + x5 = 33 + -1x x5 = 33 + -1x Add '-1x5' to each side of the equation. x5 + -1x5 = 33 + -1x + -1x5 Combine like terms: x5 + -1x5 = 0 0 = 33 + -1x + -1x5 Simplifying 0 = 33 + -1x + -1x5 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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