log^9(11x-12)=3log^910

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Solution for log^9(11x-12)=3log^910 equation:


Simplifying
log9(11x + -12) = 3log910

Reorder the terms:
g9lo(-12 + 11x) = 3log910
(-12 * g9lo + 11x * g9lo) = 3log910
(-12g9lo + 11g9lox) = 3log910

Solving
-12g9lo + 11g9lox = 3g910lo

Solving for variable 'g'.

Combine like terms: 3g910lo + -3g910lo = 0
-12g9lo + 11g9lox + -3g910lo = 0

Factor out the Greatest Common Factor (GCF), 'g9lo'.
g9lo(-12 + 11x + -3g901) = 0

Subproblem 1

Set the factor 'g9lo' equal to zero and attempt to solve: Simplifying g9lo = 0 Solving g9lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g9lo = 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 '(-12 + 11x + -3g901)' equal to zero and attempt to solve: Simplifying -12 + 11x + -3g901 = 0 Reorder the terms: -12 + -3g901 + 11x = 0 Solving -12 + -3g901 + 11x = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3g901 + 12 + 11x = 0 + 12 Reorder the terms: -12 + 12 + -3g901 + 11x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3g901 + 11x = 0 + 12 -3g901 + 11x = 0 + 12 Combine like terms: 0 + 12 = 12 -3g901 + 11x = 12 Add '-11x' to each side of the equation. -3g901 + 11x + -11x = 12 + -11x Combine like terms: 11x + -11x = 0 -3g901 + 0 = 12 + -11x -3g901 = 12 + -11x Divide each side by '-3'. g901 = -4 + 3.666666667x Simplifying g901 = -4 + 3.666666667x 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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