In(2x-1)+ln(x+2)=(1-2x)

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


Simplifying
In(2x + -1) + ln(x + 2) = (1 + -2x)

Reorder the terms:
nI(-1 + 2x) + ln(x + 2) = (1 + -2x)
(-1 * nI + 2x * nI) + ln(x + 2) = (1 + -2x)
(-1nI + 2nxI) + ln(x + 2) = (1 + -2x)

Reorder the terms:
-1nI + 2nxI + ln(2 + x) = (1 + -2x)
-1nI + 2nxI + (2 * ln + x * ln) = (1 + -2x)
-1nI + 2nxI + (2ln + lnx) = (1 + -2x)

Reorder the terms:
2ln + lnx + -1nI + 2nxI = (1 + -2x)

Remove parenthesis around (1 + -2x)
2ln + lnx + -1nI + 2nxI = 1 + -2x

Solving
2ln + lnx + -1nI + 2nxI = 1 + -2x

Solving for variable 'l'.

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

Add 'nI' to each side of the equation.
2ln + lnx + -1nI + nI + 2nxI = 1 + nI + -2x

Combine like terms: -1nI + nI = 0
2ln + lnx + 0 + 2nxI = 1 + nI + -2x
2ln + lnx + 2nxI = 1 + nI + -2x

Add '-2nxI' to each side of the equation.
2ln + lnx + 2nxI + -2nxI = 1 + nI + -2nxI + -2x

Combine like terms: 2nxI + -2nxI = 0
2ln + lnx + 0 = 1 + nI + -2nxI + -2x
2ln + lnx = 1 + nI + -2nxI + -2x

Reorder the terms:
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 1 + nI + -2nxI + -2x + -1 + -1nI + 2nxI + 2x

Reorder the terms:
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 1 + -1 + nI + -1nI + -2nxI + 2nxI + -2x + 2x

Combine like terms: 1 + -1 = 0
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 0 + nI + -1nI + -2nxI + 2nxI + -2x + 2x
-1 + 2ln + lnx + -1nI + 2nxI + 2x = nI + -1nI + -2nxI + 2nxI + -2x + 2x

Combine like terms: nI + -1nI = 0
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 0 + -2nxI + 2nxI + -2x + 2x
-1 + 2ln + lnx + -1nI + 2nxI + 2x = -2nxI + 2nxI + -2x + 2x

Combine like terms: -2nxI + 2nxI = 0
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 0 + -2x + 2x
-1 + 2ln + lnx + -1nI + 2nxI + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
-1 + 2ln + lnx + -1nI + 2nxI + 2x = 0

The solution to this equation could not be determined.

See similar equations:

| 7log-6v=14 | | 5t-15=8 | | 8x-(2x-9)=4x-(4+4x) | | x=3+8 | | 61.25=35+(.15*t) | | 1.3x+4.6=10.8 | | y2=25/64 | | 4w+8=-20 | | 2t-4=196 | | 2x+3x-x+9=x+2x+12 | | f(x)=10(0.95)x | | 2(1+1+1)=8 | | -16w+3=9w-48 | | 40=-2(m+4) | | 3(4x+7)=57 | | 20y=32 | | m+5-3m=17 | | 8x+y-5=o | | 6r-15r=99 | | 8a+13=3a-2 | | 6(3x+5)=18x-4 | | 5(4x+1)=20x-8 | | 0.5b+2b=-50 | | 7n+28-6n=39 | | 0=2x^2+6x | | 5-2(9x+6)= | | y(y-7)= | | 15-(x+5)=6x-4 | | 1/5x-5=x | | 6(1a+4)+2(2a+3)= | | 3.75m=33.75 | | (21p)(21p)+14p=0 |

Equations solver categories