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Simplifying log[5](5x + 6) = 2log[5] * x Reorder the terms: glo * 5(6 + 5x) = 2log[5] * x Reorder the terms for easier multiplication: 5glo(6 + 5x) = 2log[5] * x (6 * 5glo + 5x * 5glo) = 2log[5] * x (30glo + 25glox) = 2log[5] * x Reorder the terms for easier multiplication: 30glo + 25glox = 2 * 5glo * x Multiply 2 * 5 30glo + 25glox = 10glo * x Multiply glo * x 30glo + 25glox = 10glox Solving 30glo + 25glox = 10glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glox' to each side of the equation. 30glo + 25glox + -10glox = 10glox + -10glox Combine like terms: 25glox + -10glox = 15glox 30glo + 15glox = 10glox + -10glox Combine like terms: 10glox + -10glox = 0 30glo + 15glox = 0 Factor out the Greatest Common Factor (GCF), '15glo'. 15glo(2 + x) = 0 Ignore the factor 15.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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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