ln(x)+ln(x-6)=3

Simple and best practice solution for ln(x)+ln(x-6)=3 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)+ln(x-6)=3 equation:


Simplifying
ln(x) + ln(x + -6) = 3

Multiply ln * x
lnx + ln(x + -6) = 3

Reorder the terms:
lnx + ln(-6 + x) = 3
lnx + (-6 * ln + x * ln) = 3
lnx + (-6ln + lnx) = 3

Reorder the terms:
-6ln + lnx + lnx = 3

Combine like terms: lnx + lnx = 2lnx
-6ln + 2lnx = 3

Solving
-6ln + 2lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + -6ln + 2lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -6ln + 2lnx = 0

The solution to this equation could not be determined.

See similar equations:

| 4(3.2x-3)=2(x-4) | | ln(x)+ln(x-6)=6 | | 5x^2-7=18 | | 42a^2-17a=15 | | 3k+4+k=8 | | 8a^2-9a+1= | | 6y+9=10 | | b^2-8b=0 | | -3p-39=0 | | 2(x-1)=5(3) | | t(10t+3)=7 | | 40+5x=24+18x | | -39=3-7v | | -36=3-7v | | -11y-8=58 | | t^2-8t+14=0 | | -6p+5=-13 | | 3x+8=5x-2(x+4) | | 5=2x+y | | 70=40t-5t^2 | | 7x^2-4=0 | | 237=1.55x^2-5.1+197 | | x+12=9*3 | | 7x=63-21 | | y+3=7y-21+-3 | | 300=1.55x^2-5.1x+197 | | 6x=25+20+9 | | 32=4+7a | | -25+15x=6+4x | | -1.333333333+.44444444444=x^2 | | 6x+8x-3x=3x+5x | | 23+x=16*4 |

Equations solver categories