2log(x+1)-log(4)=log(2x-1)

Simple and best practice solution for 2log(x+1)-log(4)=log(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 2log(x+1)-log(4)=log(2x-1) equation:


Simplifying
2log(x + 1) + -1log(4) = log(2x + -1)

Reorder the terms:
2glo(1 + x) + -1log(4) = log(2x + -1)
(1 * 2glo + x * 2glo) + -1log(4) = log(2x + -1)
(2glo + 2glox) + -1log(4) = log(2x + -1)

Reorder the terms for easier multiplication:
2glo + 2glox + -1 * 4glo = log(2x + -1)

Multiply -1 * 4
2glo + 2glox + -4glo = log(2x + -1)

Reorder the terms:
2glo + -4glo + 2glox = log(2x + -1)

Combine like terms: 2glo + -4glo = -2glo
-2glo + 2glox = log(2x + -1)

Reorder the terms:
-2glo + 2glox = glo(-1 + 2x)
-2glo + 2glox = (-1 * glo + 2x * glo)
-2glo + 2glox = (-1glo + 2glox)

Add '-2glox' to each side of the equation.
-2glo + 2glox + -2glox = -1glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glo + 0 = -1glo + 2glox + -2glox
-2glo = -1glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glo = -1glo + 0
-2glo = -1glo

Solving
-2glo = -1glo

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
-2glo + glo = -1glo + glo

Combine like terms: -2glo + glo = -1glo
-1glo = -1glo + glo

Combine like terms: -1glo + glo = 0
-1glo = 0

Divide each side by '-1'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

See similar equations:

| 7y=-24 | | 6(x-11)=-4x | | -2m^3+10m^2+28m=0 | | -5(1-2m+n)= | | 3(4x+4)=2(5x+9) | | h=144t-16t | | 5x+48+7x=12(x+5) | | 3x+2y+3z=1 | | 3x-1=3y | | X^2+18x-943=0 | | 20k(k+2)=3k-15 | | 500y=27500 | | (4a^2-3b^2)(16a^4+12a^2b^2+9b^4)= | | F(x)=2x^3-8x^2+x-1f(3a) | | -7(2x+7)+8= | | -6+7(-4z+4)=-(-5z-1)-1 | | -3(7n-6)+3n=0 | | 122=-14v | | F(x)=2x^3-8x^2+x-1 | | (-4.2x^2)(8x^7)= | | 7/5=2x-1/45 | | 5x+5y+4z=3 | | 7k+1=3k+17 | | 7x-(4x+6)=4x-22 | | 6-4(-3c-9)= | | m-50.4=-7.9 | | e-3x=1.8 | | -24=-260+x | | b-3=3b-11 | | 5.0(x-7.0)=-25(x-10.0)forx | | 8n+18-6n=38 | | -2(3y-5)-y=-2(y-4) |

Equations solver categories