log(x+4)=-log(x-3)+2

Simple and best practice solution for log(x+4)=-log(x-3)+2 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 log(x+4)=-log(x-3)+2 equation:


Simplifying
log(x + 4) = -1log(x + -3) + 2

Reorder the terms:
glo(4 + x) = -1log(x + -3) + 2
(4 * glo + x * glo) = -1log(x + -3) + 2
(4glo + glox) = -1log(x + -3) + 2

Reorder the terms:
4glo + glox = -1glo(-3 + x) + 2
4glo + glox = (-3 * -1glo + x * -1glo) + 2
4glo + glox = (3glo + -1glox) + 2

Reorder the terms:
4glo + glox = 2 + 3glo + -1glox

Solving
4glo + glox = 2 + 3glo + -1glox

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
4glo + -3glo + glox = 2 + 3glo + -3glo + -1glox

Combine like terms: 4glo + -3glo = 1glo
1glo + glox = 2 + 3glo + -3glo + -1glox

Combine like terms: 3glo + -3glo = 0
1glo + glox = 2 + 0 + -1glox
1glo + glox = 2 + -1glox

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

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

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

Reorder the terms:
-2 + 1glo + 2glox = 2 + -2

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

The solution to this equation could not be determined.

See similar equations:

| 9x-11=x+4 | | -3u=24 | | 3x=246 | | 9(x+32)=333 | | 10x-9=39 | | 3(75x)*1(15x)=0 | | 10x+8=4x+4 | | 19=x+12.25 | | -2x+8+4-6x=24-8x-28 | | 5/7y=3 | | 2(13+x)=63+x | | 48=12.2k | | 361+x=375 | | 3/5(2a-1) | | 2.4y-3.2= | | 27*49= | | 90+x=185 | | 2x+8+x=0 | | (x*3)-1=5+x | | -5a+2.3=-18.8 | | 90+x=305 | | 49+x=352 | | 64=r*32 | | 2040=160x+180y | | Y=-50x+7000 | | x*3-1=5+X | | A=6/5a-3/5 | | -24+16.4z=w(6-4.1z) | | (1/3)x=12-x | | 950=4/5(3.14)r^3 | | (7x^2-4x)-(5x^2+2x)= | | -6x+8=-4x+12 |

Equations solver categories