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Simplifying log[5](35) + -1log[5](x) = log[5](5) Reorder the terms for easier multiplication: 5 * 35glo + -1log[5](x) = log[5](5) Multiply 5 * 35 175glo + -1log[5](x) = log[5](5) Reorder the terms for easier multiplication: 175glo + -1 * 5glo * x = log[5](5) Multiply -1 * 5 175glo + -5glo * x = log[5](5) Multiply glo * x 175glo + -5glox = log[5](5) Reorder the terms for easier multiplication: 175glo + -5glox = 5 * 5glo Multiply 5 * 5 175glo + -5glox = 25glo Solving 175glo + -5glox = 25glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-25glo' to each side of the equation. 175glo + -25glo + -5glox = 25glo + -25glo Combine like terms: 175glo + -25glo = 150glo 150glo + -5glox = 25glo + -25glo Combine like terms: 25glo + -25glo = 0 150glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(30 + -1x) = 0 Ignore the factor 5.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 '(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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