Ln(x+8)-ln(x)=1

Simple and best practice solution for Ln(x+8)-ln(x)=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 Ln(x+8)-ln(x)=1 equation: 


Simplifying
Ln(x + 8) + -1ln(x) = 1

Reorder the terms:
nL(8 + x) + -1ln(x) = 1
(8 * nL + x * nL) + -1ln(x) = 1
(8nL + nxL) + -1ln(x) = 1

Multiply ln * x
8nL + nxL + -1lnx = 1

Reorder the terms:
-1lnx + 8nL + nxL = 1

Solving
-1lnx + 8nL + nxL = 1

Solving for variable 'l'.

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

Add '-8nL' to each side of the equation.
-1lnx + 8nL + -8nL + nxL = 1 + -8nL

Combine like terms: 8nL + -8nL = 0
-1lnx + 0 + nxL = 1 + -8nL
-1lnx + nxL = 1 + -8nL

Add '-1nxL' to each side of the equation.
-1lnx + nxL + -1nxL = 1 + -8nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-1lnx + 0 = 1 + -8nL + -1nxL
-1lnx = 1 + -8nL + -1nxL

Divide each side by '-1nx'.
l = -1n-1x-1 + 8x-1L + L

Simplifying
l = -1n-1x-1 + 8x-1L + L

Reorder the terms:
l = L + -1n-1x-1 + 8x-1L

See similar equations:

| -43+x=23 | | -1+5p=2(2p-3) | | -105-x=6x+105 | | 45=71-y | | 162-16t^2=0 | | 10x^2+20x+30=180 | | 6x=22x^2+11x+1 | | 45=73-y | | 45=65-y | | -k+2=-k-2(3+k) | | 2.625+4m=m+3.25 | | -6x-29=5x+7 | | -2C+8=24 | | 5x^8+30x^6-35x^4=0 | | -97-8x=10x+137 | | 45=80-y | | 3(x+2.93)=2x | | 45=111-y | | 9+x^2= | | 6250(4x)=10 | | 4=log(5X-70) | | 18x^2+21x=-6 | | -3(1+h)=.33(3-12h) | | x-2y+z=4 | | 38=17-y | | -36+24-3=y | | 9x^2-1=80 | | 80y=4w+5x | | x-2y+4=4 | | 140n^3+40n^2-35n-10=0 | | 17=9y | | 4(2x-3)-3(5x+4)=7x(5x-4) |

Equations solver categories