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Simplifying log(4x) + 2log(5y) = 0 Remove parenthesis around (4x) glo * 4x + 2log(5y) = 0 Reorder the terms for easier multiplication: 4glo * x + 2log(5y) = 0 Multiply glo * x 4glox + 2log(5y) = 0 Remove parenthesis around (5y) 4glox + 2glo * 5y = 0 Reorder the terms for easier multiplication: 4glox + 2 * 5glo * y = 0 Multiply 2 * 5 4glox + 10glo * y = 0 Multiply glo * y 4glox + 10gloy = 0 Solving 4glox + 10gloy = 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), '2glo'. 2glo(2x + 5y) = 0 Ignore the factor 2.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 '(2x + 5y)' equal to zero and attempt to solve: Simplifying 2x + 5y = 0 Solving 2x + 5y = 0 Move all terms containing g to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + 5y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 5y = 0 + -2x 5y = 0 + -2x Remove the zero: 5y = -2x Add '-5y' to each side of the equation. 5y + -5y = -2x + -5y Combine like terms: 5y + -5y = 0 0 = -2x + -5y Simplifying 0 = -2x + -5y 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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