ln(x-3)+ln(3x+1)=8

Simple and best practice solution for ln(x-3)+ln(3x+1)=8 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(3x+1)=8 equation:


Simplifying
ln(x + -3) + ln(3x + 1) = 8

Reorder the terms:
ln(-3 + x) + ln(3x + 1) = 8
(-3 * ln + x * ln) + ln(3x + 1) = 8
(-3ln + lnx) + ln(3x + 1) = 8

Reorder the terms:
-3ln + lnx + ln(1 + 3x) = 8
-3ln + lnx + (1 * ln + 3x * ln) = 8
-3ln + lnx + (1ln + 3lnx) = 8

Reorder the terms:
-3ln + 1ln + lnx + 3lnx = 8

Combine like terms: -3ln + 1ln = -2ln
-2ln + lnx + 3lnx = 8

Combine like terms: lnx + 3lnx = 4lnx
-2ln + 4lnx = 8

Solving
-2ln + 4lnx = 8

Solving for variable 'l'.

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

Reorder the terms:
-8 + -2ln + 4lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -2ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1ln + 2lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -1ln + 2lnx)' equal to zero and attempt to solve: Simplifying -4 + -1ln + 2lnx = 0 Solving -4 + -1ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1ln + 4 + 2lnx = 0 + 4 Reorder the terms: -4 + 4 + -1ln + 2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1ln + 2lnx = 0 + 4 -1ln + 2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -1ln + 2lnx = 4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 0=(1/6)y+8 | | 31/2c+21/2c=54 | | 37x-21=23x+3 | | -103+8x=89-4x | | Z-21=13 | | -2p-4(6-2p)=3(p-3)-15 | | -4y+8=-2(4y+10) | | -4y+8=2(4y+10) | | 2x+4+6x=0 | | 13m-4=3m+1 | | 2n^2-7n-13=-10 | | 7(x+9)=2x+38 | | 25a-8=92 | | 0=x^3-7x^2+17x-15 | | y=8*5+33 | | 2a+3a=60 | | 7-2(b-2)=-7b-4 | | x(8x-3)+7(8x-3)=0 | | 4(x-1)-2(3x+5)=-3x+1 | | y=11*5+18 | | f(x)=x^3-7x^2+17x-15 | | -4.1=7.1+w/7 | | y=11*4+18 | | (9-h)5= | | -4x-58=-11x+138 | | K/4-2=4/3 | | y=8*4+33 | | 15x+5=80+6x-6 | | 1-5x=51 | | n^2+5n=-6 | | y=8*3+33 | | y=8*2+33 |

Equations solver categories