lgx+lg(7x-4)=2*lg(2x+1)

Simple and best practice solution for lgx+lg(7x-4)=2*lg(2x+1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for lgx+lg(7x-4)=2*lg(2x+1) equation:


Simplifying
lgx + lg(7x + -4) = 2lg(2x + 1)

Reorder the terms:
glx + gl(-4 + 7x) = 2lg(2x + 1)
glx + (-4 * gl + 7x * gl) = 2lg(2x + 1)
glx + (-4gl + 7glx) = 2lg(2x + 1)

Reorder the terms:
-4gl + glx + 7glx = 2lg(2x + 1)

Combine like terms: glx + 7glx = 8glx
-4gl + 8glx = 2lg(2x + 1)

Reorder the terms:
-4gl + 8glx = 2gl(1 + 2x)
-4gl + 8glx = (1 * 2gl + 2x * 2gl)
-4gl + 8glx = (2gl + 4glx)

Solving
-4gl + 8glx = 2gl + 4glx

Solving for variable 'g'.

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

Add '-2gl' to each side of the equation.
-4gl + -2gl + 8glx = 2gl + -2gl + 4glx

Combine like terms: -4gl + -2gl = -6gl
-6gl + 8glx = 2gl + -2gl + 4glx

Combine like terms: 2gl + -2gl = 0
-6gl + 8glx = 0 + 4glx
-6gl + 8glx = 4glx

Add '-4glx' to each side of the equation.
-6gl + 8glx + -4glx = 4glx + -4glx

Combine like terms: 8glx + -4glx = 4glx
-6gl + 4glx = 4glx + -4glx

Combine like terms: 4glx + -4glx = 0
-6gl + 4glx = 0

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

Ignore the factor 2.

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.

See similar equations:

| lgx+lg(5x+8)=2*lg(5x-4) | | 2x=5-7x | | 168*9=x | | X^2=182+x | | 168*9= | | 168*7= | | 1500:168= | | 1500*4= | | 24*14=0 | | b/2-3=-1 | | 3(5x-4)-14x=5 | | 29-3x=5x+5 | | 20x-7=33 | | 2x=10/x+8 | | 6(2x-3)=20x+6 | | 7y+x=14 | | 8.6x-4=7.6x+5 | | 101325=x*9.82/0.1 | | xy-2x-4y=0 | | x^2=52 | | 3(5x+2)=7(x-3) | | 4x^2-2x^4+1=0 | | 2x^2-2x^4+1=0 | | 11-7x=159-35x | | 4p+3q=27 | | -37-4x=13-4x | | -1x-5x=5-7x | | 9a=9a+18a | | x+36=0 | | 96-4x=14x+22 | | 9x+13=5x+113 | | 6x+11=119-7x |

Equations solver categories