2*log(x)=log(9x-20)

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Solution for 2*log(x)=log(9x-20) equation: 


Simplifying
2log(x) = log(9x + -20)

Multiply glo * x
2glox = log(9x + -20)

Reorder the terms:
2glox = glo(-20 + 9x)
2glox = (-20 * glo + 9x * glo)
2glox = (-20glo + 9glox)

Solving
2glox = -20glo + 9glox

Solving for variable 'g'.

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

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

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

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

Combine like terms: 2glox + -9glox = -7glox
20glo + -7glox = 9glox + -9glox

Combine like terms: 9glox + -9glox = 0
20glo + -7glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(20 + -7x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(20 + -7x)' equal to zero and attempt to solve:

Simplifying
20 + -7x = 0

Solving
20 + -7x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -7x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = 0 + -20
-7x = 0 + -20

Combine like terms: 0 + -20 = -20
-7x = -20

Add '7x' to each side of the equation.
-7x + 7x = -20 + 7x

Combine like terms: -7x + 7x = 0
0 = -20 + 7x

Simplifying
0 = -20 + 7x

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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