2lgx=lg(4x-3)

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


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

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

Solving
2glx = -3gl + 4glx

Solving for variable 'g'.

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

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

Combine like terms: -3gl + 3gl = 0
3gl + 2glx = 0 + 4glx
3gl + 2glx = 4glx

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

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

Combine like terms: 4glx + -4glx = 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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