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Simplifying Log(base) * 3to(x + -6) = log(base) * 9to(3x) Reorder the terms: goL * abes * 3ot(-6 + x) = log(base) * 9to(3x) Reorder the terms for easier multiplication: 3goL * abes * ot(-6 + x) = log(base) * 9to(3x) Multiply goL * abes 3abegosL * ot(-6 + x) = log(base) * 9to(3x) Multiply abegosL * ot 3abego2stL(-6 + x) = log(base) * 9to(3x) (-6 * 3abego2stL + x * 3abego2stL) = log(base) * 9to(3x) (-18abego2stL + 3abego2stxL) = log(base) * 9to(3x) Remove parenthesis around (3x) -18abego2stL + 3abego2stxL = glo * abes * 9ot * 3x Reorder the terms for easier multiplication: -18abego2stL + 3abego2stxL = 9 * 3glo * abes * ot * x Multiply 9 * 3 -18abego2stL + 3abego2stxL = 27glo * abes * ot * x Multiply glo * abes -18abego2stL + 3abego2stxL = 27abeglos * ot * x Multiply abeglos * ot -18abego2stL + 3abego2stxL = 27abeglo2st * x Multiply abeglo2st * x -18abego2stL + 3abego2stxL = 27abeglo2stx Solving -18abego2stL + 3abego2stxL = 27abeglo2stx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27abeglo2stx' to each side of the equation. -18abego2stL + -27abeglo2stx + 3abego2stxL = 27abeglo2stx + -27abeglo2stx Reorder the terms: -27abeglo2stx + -18abego2stL + 3abego2stxL = 27abeglo2stx + -27abeglo2stx Combine like terms: 27abeglo2stx + -27abeglo2stx = 0 -27abeglo2stx + -18abego2stL + 3abego2stxL = 0 Factor out the Greatest Common Factor (GCF), '3abego2st'. 3abego2st(-9lx + -6L + xL) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'abego2st' equal to zero and attempt to solve: Simplifying abego2st = 0 Solving abego2st = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abego2st = 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 '(-9lx + -6L + xL)' equal to zero and attempt to solve: Simplifying -9lx + -6L + xL = 0 Reorder the terms: -6L + -9lx + xL = 0 Solving -6L + -9lx + xL = 0 Move all terms containing a to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + -9lx + 6L + xL = 0 + 6L Reorder the terms: -6L + 6L + -9lx + xL = 0 + 6L Combine like terms: -6L + 6L = 0 0 + -9lx + xL = 0 + 6L -9lx + xL = 0 + 6L Remove the zero: -9lx + xL = 6L Add '9lx' to each side of the equation. -9lx + 9lx + xL = 6L + 9lx Combine like terms: -9lx + 9lx = 0 0 + xL = 6L + 9lx xL = 6L + 9lx Add '-1xL' to each side of the equation. xL + -1xL = 6L + 9lx + -1xL Combine like terms: xL + -1xL = 0 0 = 6L + 9lx + -1xL Simplifying 0 = 6L + 9lx + -1xL 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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