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Simplifying log[5](9x + 3) + log[5] * 2 = log[5] * 18 Reorder the terms: glo * 5(3 + 9x) + log[5] * 2 = log[5] * 18 Reorder the terms for easier multiplication: 5glo(3 + 9x) + log[5] * 2 = log[5] * 18 (3 * 5glo + 9x * 5glo) + log[5] * 2 = log[5] * 18 (15glo + 45glox) + log[5] * 2 = log[5] * 18 Reorder the terms for easier multiplication: 15glo + 45glox + 5 * 2glo = log[5] * 18 Multiply 5 * 2 15glo + 45glox + 10glo = log[5] * 18 Reorder the terms: 15glo + 10glo + 45glox = log[5] * 18 Combine like terms: 15glo + 10glo = 25glo 25glo + 45glox = log[5] * 18 Reorder the terms for easier multiplication: 25glo + 45glox = 5 * 18glo Multiply 5 * 18 25glo + 45glox = 90glo Solving 25glo + 45glox = 90glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-90glo' to each side of the equation. 25glo + -90glo + 45glox = 90glo + -90glo Combine like terms: 25glo + -90glo = -65glo -65glo + 45glox = 90glo + -90glo Combine like terms: 90glo + -90glo = 0 -65glo + 45glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-13 + 9x) = 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 '(-13 + 9x)' equal to zero and attempt to solve: Simplifying -13 + 9x = 0 Solving -13 + 9x = 0 Move all terms containing g to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 9x = 0 + 13 9x = 0 + 13 Combine like terms: 0 + 13 = 13 9x = 13 Add '-9x' to each side of the equation. 9x + -9x = 13 + -9x Combine like terms: 9x + -9x = 0 0 = 13 + -9x Simplifying 0 = 13 + -9x 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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