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Simplifying log(base) * 3x + log(base) * 3(x + 6) = 3 Reorder the terms for easier multiplication: 3glo * abes * x + log(base) * 3(x + 6) = 3 Multiply glo * abes 3abeglos * x + log(base) * 3(x + 6) = 3 Multiply abeglos * x 3abeglosx + log(base) * 3(x + 6) = 3 Reorder the terms: 3abeglosx + glo * abes * 3(6 + x) = 3 Reorder the terms for easier multiplication: 3abeglosx + 3glo * abes(6 + x) = 3 Multiply glo * abes 3abeglosx + 3abeglos(6 + x) = 3 3abeglosx + (6 * 3abeglos + x * 3abeglos) = 3 3abeglosx + (18abeglos + 3abeglosx) = 3 Reorder the terms: 18abeglos + 3abeglosx + 3abeglosx = 3 Combine like terms: 3abeglosx + 3abeglosx = 6abeglosx 18abeglos + 6abeglosx = 3 Solving 18abeglos + 6abeglosx = 3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -3 + 18abeglos + 6abeglosx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 18abeglos + 6abeglosx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 6abeglos + 2abeglosx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 6abeglos + 2abeglosx)' equal to zero and attempt to solve: Simplifying -1 + 6abeglos + 2abeglosx = 0 Solving -1 + 6abeglos + 2abeglosx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 6abeglos + 1 + 2abeglosx = 0 + 1 Reorder the terms: -1 + 1 + 6abeglos + 2abeglosx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6abeglos + 2abeglosx = 0 + 1 6abeglos + 2abeglosx = 0 + 1 Combine like terms: 0 + 1 = 1 6abeglos + 2abeglosx = 1 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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