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Simplifying log9(x) = log9(5) + log9(6) + -1log9(3) Multiply g9lo * x g9lox = log9(5) + log9(6) + -1log9(3) Reorder the terms for easier multiplication: g9lox = 5g9lo + log9(6) + -1log9(3) Reorder the terms for easier multiplication: g9lox = 5g9lo + 6g9lo + -1log9(3) Reorder the terms for easier multiplication: g9lox = 5g9lo + 6g9lo + -1 * 3g9lo Multiply -1 * 3 g9lox = 5g9lo + 6g9lo + -3g9lo Combine like terms: 5g9lo + 6g9lo = 11g9lo g9lox = 11g9lo + -3g9lo Combine like terms: 11g9lo + -3g9lo = 8g9lo g9lox = 8g9lo Solving g9lox = 8g9lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8g9lo' to each side of the equation. -8g9lo + g9lox = 8g9lo + -8g9lo Combine like terms: 8g9lo + -8g9lo = 0 -8g9lo + g9lox = 0 Factor out the Greatest Common Factor (GCF), 'g9lo'. g9lo(-8 + x) = 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -1x 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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