Ln(x+3)-ln(x-2)=1

Simple and best practice solution for Ln(x+3)-ln(x-2)=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+3)-ln(x-2)=1 equation: 


Simplifying
Ln(x + 3) + -1ln(x + -2) = 1

Reorder the terms:
nL(3 + x) + -1ln(x + -2) = 1
(3 * nL + x * nL) + -1ln(x + -2) = 1
(3nL + nxL) + -1ln(x + -2) = 1

Reorder the terms:
3nL + nxL + -1ln(-2 + x) = 1
3nL + nxL + (-2 * -1ln + x * -1ln) = 1
3nL + nxL + (2ln + -1lnx) = 1

Reorder the terms:
2ln + -1lnx + 3nL + nxL = 1

Solving
2ln + -1lnx + 3nL + nxL = 1

Solving for variable 'l'.

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

Add '-3nL' to each side of the equation.
2ln + -1lnx + 3nL + -3nL + nxL = 1 + -3nL

Combine like terms: 3nL + -3nL = 0
2ln + -1lnx + 0 + nxL = 1 + -3nL
2ln + -1lnx + nxL = 1 + -3nL

Add '-1nxL' to each side of the equation.
2ln + -1lnx + nxL + -1nxL = 1 + -3nL + -1nxL

Combine like terms: nxL + -1nxL = 0
2ln + -1lnx + 0 = 1 + -3nL + -1nxL
2ln + -1lnx = 1 + -3nL + -1nxL

Reorder the terms:
-1 + 2ln + -1lnx + 3nL + nxL = 1 + -3nL + -1nxL + -1 + 3nL + nxL

Reorder the terms:
-1 + 2ln + -1lnx + 3nL + nxL = 1 + -1 + -3nL + 3nL + -1nxL + nxL

Combine like terms: 1 + -1 = 0
-1 + 2ln + -1lnx + 3nL + nxL = 0 + -3nL + 3nL + -1nxL + nxL
-1 + 2ln + -1lnx + 3nL + nxL = -3nL + 3nL + -1nxL + nxL

Combine like terms: -3nL + 3nL = 0
-1 + 2ln + -1lnx + 3nL + nxL = 0 + -1nxL + nxL
-1 + 2ln + -1lnx + 3nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-1 + 2ln + -1lnx + 3nL + nxL = 0

The solution to this equation could not be determined.

See similar equations:

| 7w+3-6w=19 | | 6x-6+15x=-21x-14 | | 2x-3+5x=10 | | 8x+4=15-45x+95 | | t5/6 | | http://m/3-8=5/6 | | 2x+6+x+24+90=180 | | y=3x/4x^2-6 | | 4/5x50= | | -5(v-4y-6)= | | 16lnx=-4 | | 3x+3=8-(5x-9) | | 2x^2+-3x+-35=0 | | 3x+4(2-x)=4x+s | | 6(k-3)=0 | | f(-6)=x^2-4x+1 | | 3/7=6/21 | | 8r+5=21 | | (Y-4)-(y+4)=8y | | 4.70-9.45=m | | .33/3 | | 3/.33 | | 38.72+23.19=n | | 2g+15k+3g-11k= | | 9/2=3u | | F(1)=3x+7 | | 6p+2p+3p= | | 41+b=56 | | x^2+2b+4=0 | | 29.00+.75x=1.75x | | 24+17=h | | y^(2/3)-5^(1/3)-6=0 |

Equations solver categories