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Simplifying log5(5x + 9) = log5(6x) Reorder the terms: g5lo(9 + 5x) = log5(6x) (9 * g5lo + 5x * g5lo) = log5(6x) (9g5lo + 5g5lox) = log5(6x) Remove parenthesis around (6x) 9g5lo + 5g5lox = g5lo * 6x Reorder the terms for easier multiplication: 9g5lo + 5g5lox = 6g5lo * x Multiply g5lo * x 9g5lo + 5g5lox = 6g5lox Solving 9g5lo + 5g5lox = 6g5lox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g5lox' to each side of the equation. 9g5lo + 5g5lox + -6g5lox = 6g5lox + -6g5lox Combine like terms: 5g5lox + -6g5lox = -1g5lox 9g5lo + -1g5lox = 6g5lox + -6g5lox Combine like terms: 6g5lox + -6g5lox = 0 9g5lo + -1g5lox = 0 Factor out the Greatest Common Factor (GCF), 'g5lo'. g5lo(9 + -1x) = 0Subproblem 1
Set the factor 'g5lo' equal to zero and attempt to solve: Simplifying g5lo = 0 Solving g5lo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g5lo = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + x 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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