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Simplifying log9(11x + -12) = 3log9(10) Reorder the terms: g9lo(-12 + 11x) = 3log9(10) (-12 * g9lo + 11x * g9lo) = 3log9(10) (-12g9lo + 11g9lox) = 3log9(10) Reorder the terms for easier multiplication: -12g9lo + 11g9lox = 3 * 10g9lo Multiply 3 * 10 -12g9lo + 11g9lox = 30g9lo Solving -12g9lo + 11g9lox = 30g9lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30g9lo' to each side of the equation. -12g9lo + -30g9lo + 11g9lox = 30g9lo + -30g9lo Combine like terms: -12g9lo + -30g9lo = -42g9lo -42g9lo + 11g9lox = 30g9lo + -30g9lo Combine like terms: 30g9lo + -30g9lo = 0 -42g9lo + 11g9lox = 0 Factor out the Greatest Common Factor (GCF), 'g9lo'. g9lo(-42 + 11x) = 0Subproblem 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 '(-42 + 11x)' equal to zero and attempt to solve: Simplifying -42 + 11x = 0 Solving -42 + 11x = 0 Move all terms containing g to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 11x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 11x = 0 + 42 11x = 0 + 42 Combine like terms: 0 + 42 = 42 11x = 42 Add '-11x' to each side of the equation. 11x + -11x = 42 + -11x Combine like terms: 11x + -11x = 0 0 = 42 + -11x Simplifying 0 = 42 + -11x 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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