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Simplifying log3(x + -3) = log9(x) Reorder the terms: g3lo(-3 + x) = log9(x) (-3 * g3lo + x * g3lo) = log9(x) (-3g3lo + g3lox) = log9(x) Multiply g9lo * x -3g3lo + g3lox = g9lox Solving -3g3lo + g3lox = g9lox Solving for variable 'g'. Combine like terms: g9lox + -1g9lox = 0 -3g3lo + g3lox + -1g9lox = 0 Factor out the Greatest Common Factor (GCF), 'g3lo'. g3lo(-3 + x + -1g6x) = 0Subproblem 1
Set the factor 'g3lo' equal to zero and attempt to solve: Simplifying g3lo = 0 Solving g3lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g3lo = 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 '(-3 + x + -1g6x)' equal to zero and attempt to solve: Simplifying -3 + x + -1g6x = 0 Reorder the terms: -3 + -1g6x + x = 0 Solving -3 + -1g6x + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1g6x + 3 + x = 0 + 3 Reorder the terms: -3 + 3 + -1g6x + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1g6x + x = 0 + 3 -1g6x + x = 0 + 3 Combine like terms: 0 + 3 = 3 -1g6x + x = 3 Add '-1x' to each side of the equation. -1g6x + x + -1x = 3 + -1x Combine like terms: x + -1x = 0 -1g6x + 0 = 3 + -1x -1g6x = 3 + -1x Divide each side by '-1x'. g6 = -3x-1 + 1 Simplifying g6 = -3x-1 + 1 Reorder the terms: g6 = 1 + -3x-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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