lg(4x-3)=2lgx

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Solution for lg(4x-3)=2lgx equation: 


Simplifying
lg(4x + -3) = 2lgx

Reorder the terms:
gl(-3 + 4x) = 2lgx
(-3 * gl + 4x * gl) = 2lgx
(-3gl + 4glx) = 2lgx

Solving
-3gl + 4glx = 2glx

Solving for variable 'g'.

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

Add '-2glx' to each side of the equation.
-3gl + 4glx + -2glx = 2glx + -2glx

Combine like terms: 4glx + -2glx = 2glx
-3gl + 2glx = 2glx + -2glx

Combine like terms: 2glx + -2glx = 0
-3gl + 2glx = 0

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-3 + 2x) = 0


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

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 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 '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Add '-2x' to each side of the equation.
2x + -2x = 3 + -2x

Combine like terms: 2x + -2x = 0
0 = 3 + -2x

Simplifying
0 = 3 + -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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