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Simplifying log(3x) + 4log(5y) + -3log(4z) = logq Remove parenthesis around (3x) glo * 3x + 4log(5y) + -3log(4z) = logq Reorder the terms for easier multiplication: 3glo * x + 4log(5y) + -3log(4z) = logq Multiply glo * x 3glox + 4log(5y) + -3log(4z) = logq Remove parenthesis around (5y) 3glox + 4glo * 5y + -3log(4z) = logq Reorder the terms for easier multiplication: 3glox + 4 * 5glo * y + -3log(4z) = logq Multiply 4 * 5 3glox + 20glo * y + -3log(4z) = logq Multiply glo * y 3glox + 20gloy + -3log(4z) = logq Remove parenthesis around (4z) 3glox + 20gloy + -3glo * 4z = logq Reorder the terms for easier multiplication: 3glox + 20gloy + -3 * 4glo * z = logq Multiply -3 * 4 3glox + 20gloy + -12glo * z = logq Multiply glo * z 3glox + 20gloy + -12gloz = logq Solving 3glox + 20gloy + -12gloz = gloq Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1gloq' to each side of the equation. 3glox + 20gloy + -1gloq + -12gloz = gloq + -1gloq Reorder the terms: -1gloq + 3glox + 20gloy + -12gloz = gloq + -1gloq Combine like terms: gloq + -1gloq = 0 -1gloq + 3glox + 20gloy + -12gloz = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-1q + 3x + 20y + -12z) = 0Subproblem 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 '(-1q + 3x + 20y + -12z)' equal to zero and attempt to solve: Simplifying -1q + 3x + 20y + -12z = 0 Solving -1q + 3x + 20y + -12z = 0 Move all terms containing g to the left, all other terms to the right. Add 'q' to each side of the equation. -1q + 3x + 20y + q + -12z = 0 + q Reorder the terms: -1q + q + 3x + 20y + -12z = 0 + q Combine like terms: -1q + q = 0 0 + 3x + 20y + -12z = 0 + q 3x + 20y + -12z = 0 + q Remove the zero: 3x + 20y + -12z = q Add '-3x' to each side of the equation. 3x + 20y + -3x + -12z = q + -3x Reorder the terms: 3x + -3x + 20y + -12z = q + -3x Combine like terms: 3x + -3x = 0 0 + 20y + -12z = q + -3x 20y + -12z = q + -3x Add '-20y' to each side of the equation. 20y + -20y + -12z = q + -3x + -20y Combine like terms: 20y + -20y = 0 0 + -12z = q + -3x + -20y -12z = q + -3x + -20y Add '12z' to each side of the equation. -12z + 12z = q + -3x + -20y + 12z Combine like terms: -12z + 12z = 0 0 = q + -3x + -20y + 12z Simplifying 0 = q + -3x + -20y + 12z 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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