ln(x+2)+ln(2x+1)=6

Simple and best practice solution for ln(x+2)+ln(2x+1)=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 ln(x+2)+ln(2x+1)=6 equation:


Simplifying
ln(x + 2) + ln(2x + 1) = 6

Reorder the terms:
ln(2 + x) + ln(2x + 1) = 6
(2 * ln + x * ln) + ln(2x + 1) = 6
(2ln + lnx) + ln(2x + 1) = 6

Reorder the terms:
2ln + lnx + ln(1 + 2x) = 6
2ln + lnx + (1 * ln + 2x * ln) = 6
2ln + lnx + (1ln + 2lnx) = 6

Reorder the terms:
2ln + 1ln + lnx + 2lnx = 6

Combine like terms: 2ln + 1ln = 3ln
3ln + lnx + 2lnx = 6

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

Solving
3ln + 3lnx = 6

Solving for variable 'l'.

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + ln + lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + ln + lnx = 0 Solving -2 + ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ln + lnx = 0 + 2 ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 ln + lnx = 2 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:

| 5000=.95D+.04W | | Y=-0.5x+6 | | (y^3)/(y^-4) | | (9-x)(4x+7)=0 | | d/3=-84 | | -32x^2+3025x+363000=0 | | 4x-23=-3(x+3) | | -32x^2+3025x+665500=0 | | 3x+7y-3=0 | | 36/x=12/2 | | -3+3u=-24 | | .6=.3+x-.15 | | (3)/(-4x-2) | | X/2-3/4=x/3-5/6 | | x(4)-5=3 | | x+3y+35=0 | | 4x-6x+5-1=2x+3x-7+4 | | 7y-5(4y-5)= | | 90x-(9/2)x^2=0 | | (2/3)p=18 | | -17a=391 | | x/4-117/4x=1 | | x+(2*x)=145 | | x-0.28x= | | 0.6(x-6)=9.0 | | 6y-8-y=19-9y | | 5b-20/8b-32 | | -5y-7y=-13-9 | | 3a-13+4a=7a+1 | | 3[5-3(4-9)]-5=5[3(5q-4)+2]-26 | | x-0.4x=102 | | .1243f+1.554=.1863P |

Equations solver categories