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Simplifying 7log(3) + 3log(5x) = 0 Reorder the terms for easier multiplication: 7 * 3glo + 3log(5x) = 0 Multiply 7 * 3 21glo + 3log(5x) = 0 Remove parenthesis around (5x) 21glo + 3glo * 5x = 0 Reorder the terms for easier multiplication: 21glo + 3 * 5glo * x = 0 Multiply 3 * 5 21glo + 15glo * x = 0 Multiply glo * x 21glo + 15glox = 0 Solving 21glo + 15glox = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(7 + 5x) = 0 Ignore the factor 3.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 '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Add '-5x' to each side of the equation. 5x + -5x = -7 + -5x Combine like terms: 5x + -5x = 0 0 = -7 + -5x Simplifying 0 = -7 + -5x 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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