log(sub)3*(x-6)-log(sub)3*(2x)=4

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Solution for log(sub)3*(x-6)-log(sub)3*(2x)=4 equation:


Simplifying
log(sub) * 3(x + -6) + -1log(sub) * 3(2x) = 4

Reorder the terms:
glo * bsu * 3(-6 + x) + -1log(sub) * 3(2x) = 4

Reorder the terms for easier multiplication:
3glo * bsu(-6 + x) + -1log(sub) * 3(2x) = 4

Multiply glo * bsu
3bglosu(-6 + x) + -1log(sub) * 3(2x) = 4
(-6 * 3bglosu + x * 3bglosu) + -1log(sub) * 3(2x) = 4
(-18bglosu + 3bglosux) + -1log(sub) * 3(2x) = 4

Remove parenthesis around (2x)
-18bglosu + 3bglosux + -1glo * bsu * 3 * 2x = 4

Reorder the terms for easier multiplication:
-18bglosu + 3bglosux + -1 * 3 * 2glo * bsu * x = 4

Multiply -1 * 3
-18bglosu + 3bglosux + -3 * 2glo * bsu * x = 4

Multiply -3 * 2
-18bglosu + 3bglosux + -6glo * bsu * x = 4

Multiply glo * bsu
-18bglosu + 3bglosux + -6bglosu * x = 4

Multiply bglosu * x
-18bglosu + 3bglosux + -6bglosux = 4

Combine like terms: 3bglosux + -6bglosux = -3bglosux
-18bglosu + -3bglosux = 4

Solving
-18bglosu + -3bglosux = 4

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Reorder the terms:
-4 + -18bglosu + -3bglosux = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -18bglosu + -3bglosux = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 18bglosu + 3bglosux) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 18bglosu + 3bglosux)' equal to zero and attempt to solve: Simplifying 4 + 18bglosu + 3bglosux = 0 Solving 4 + 18bglosu + 3bglosux = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 18bglosu + -4 + 3bglosux = 0 + -4 Reorder the terms: 4 + -4 + 18bglosu + 3bglosux = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 18bglosu + 3bglosux = 0 + -4 18bglosu + 3bglosux = 0 + -4 Combine like terms: 0 + -4 = -4 18bglosu + 3bglosux = -4 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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