Log(9x-20)=2logx

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Solution for Log(9x-20)=2logx equation:


Simplifying
Log(9x + -20) = 2logx

Reorder the terms:
goL(-20 + 9x) = 2logx
(-20 * goL + 9x * goL) = 2logx
(-20goL + 9goxL) = 2logx

Solving
-20goL + 9goxL = 2glox

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-2glox' to each side of the equation.
-20goL + -2glox + 9goxL = 2glox + -2glox

Reorder the terms:
-2glox + -20goL + 9goxL = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glox + -20goL + 9goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-2lx + -20L + 9xL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-2lx + -20L + 9xL)' equal to zero and attempt to solve: Simplifying -2lx + -20L + 9xL = 0 Reorder the terms: -20L + -2lx + 9xL = 0 Solving -20L + -2lx + 9xL = 0 Move all terms containing g to the left, all other terms to the right. Add '20L' to each side of the equation. -20L + -2lx + 20L + 9xL = 0 + 20L Reorder the terms: -20L + 20L + -2lx + 9xL = 0 + 20L Combine like terms: -20L + 20L = 0 0 + -2lx + 9xL = 0 + 20L -2lx + 9xL = 0 + 20L Remove the zero: -2lx + 9xL = 20L Add '2lx' to each side of the equation. -2lx + 2lx + 9xL = 20L + 2lx Combine like terms: -2lx + 2lx = 0 0 + 9xL = 20L + 2lx 9xL = 20L + 2lx Add '-9xL' to each side of the equation. 9xL + -9xL = 20L + 2lx + -9xL Combine like terms: 9xL + -9xL = 0 0 = 20L + 2lx + -9xL Simplifying 0 = 20L + 2lx + -9xL 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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