log(5+4x)=2logx

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Solution for log(5+4x)=2logx equation: 


Simplifying
log(5 + 4x) = 2logx
(5 * glo + 4x * glo) = 2logx
(5glo + 4glox) = 2logx

Solving
5glo + 4glox = 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.
5glo + 4glox + -2glox = 2glox + -2glox

Combine like terms: 4glox + -2glox = 2glox
5glo + 2glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
5glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(5 + 2x) = 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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -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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