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Simplifying 2log5(x) = log5(9) Multiply g5lo * x 2g5lox = log5(9) Reorder the terms for easier multiplication: 2g5lox = 9g5lo Solving 2g5lox = 9g5lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9g5lo' to each side of the equation. -9g5lo + 2g5lox = 9g5lo + -9g5lo Combine like terms: 9g5lo + -9g5lo = 0 -9g5lo + 2g5lox = 0 Factor out the Greatest Common Factor (GCF), 'g5lo'. g5lo(-9 + 2x) = 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 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 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 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Add '-2x' to each side of the equation. 2x + -2x = 9 + -2x Combine like terms: 2x + -2x = 0 0 = 9 + -2x Simplifying 0 = 9 + -2x 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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