log(x-4)-log(x+1)=log(6)

Simple and best practice solution for log(x-4)-log(x+1)=log(6) 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+1)=log(6) equation:


Simplifying
log(x + -4) + -1log(x + 1) = log(6)

Reorder the terms:
glo(-4 + x) + -1log(x + 1) = log(6)
(-4 * glo + x * glo) + -1log(x + 1) = log(6)
(-4glo + glox) + -1log(x + 1) = log(6)

Reorder the terms:
-4glo + glox + -1glo(1 + x) = log(6)
-4glo + glox + (1 * -1glo + x * -1glo) = log(6)
-4glo + glox + (-1glo + -1glox) = log(6)

Reorder the terms:
-4glo + -1glo + glox + -1glox = log(6)

Combine like terms: -4glo + -1glo = -5glo
-5glo + glox + -1glox = log(6)

Combine like terms: glox + -1glox = 0
-5glo + 0 = log(6)
-5glo = log(6)

Reorder the terms for easier multiplication:
-5glo = 6glo

Solving
-5glo = 6glo

Solving for variable 'g'.

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

Add '-6glo' to each side of the equation.
-5glo + -6glo = 6glo + -6glo

Combine like terms: -5glo + -6glo = -11glo
-11glo = 6glo + -6glo

Combine like terms: 6glo + -6glo = 0
-11glo = 0

Divide each side by '-11'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

See similar equations:

| 5*(7-y)+3y=35 | | 3(u-9)-3=-3(-7u+6)-8u | | -26x-5=5x^2 | | 5(7-y)+3y=35 | | -4=-2/3p | | w+9=-2 | | -7v+3(v+8)=-16 | | n=100x+40y | | 25g=6 | | 2x^3=-1 | | 2.1=14.9-8y | | 5u^2-6u-9=0 | | u/4-3.1=-15.9 | | 90=1/2n(n-3) | | 6!/2!4! | | 2u^2+u-7=0 | | 3h^2+9h+3=0 | | 1349=16s^2 | | f(x)=0.2x-(x+3) | | (2x-2000)*3=5000 | | f(x)=0.2x-in(x+3) | | -5/3u=30 | | 7u=-14/9 | | -6/5y=30 | | (x-3)(2x-1)+(x-3)(-x+5)=0 | | f(x)=Vx | | -2y+3(0)=4 | | 10y-11(0)=-4 | | g(x)=t^2 | | 10(2.3x+2.8)=10(-1.2x+9.8) | | 4x-25=51 | | 2y+5(5)-19=0 |

Equations solver categories