ln(x-2)+ln(2x-3)=x^2

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


Simplifying
ln(x + -2) + ln(2x + -3) = x2

Reorder the terms:
ln(-2 + x) + ln(2x + -3) = x2
(-2 * ln + x * ln) + ln(2x + -3) = x2
(-2ln + lnx) + ln(2x + -3) = x2

Reorder the terms:
-2ln + lnx + ln(-3 + 2x) = x2
-2ln + lnx + (-3 * ln + 2x * ln) = x2
-2ln + lnx + (-3ln + 2lnx) = x2

Reorder the terms:
-2ln + -3ln + lnx + 2lnx = x2

Combine like terms: -2ln + -3ln = -5ln
-5ln + lnx + 2lnx = x2

Combine like terms: lnx + 2lnx = 3lnx
-5ln + 3lnx = x2

Solving
-5ln + 3lnx = x2

Solving for variable 'l'.

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

Combine like terms: x2 + -1x2 = 0
-5ln + 3lnx + -1x2 = 0

The solution to this equation could not be determined.

See similar equations:

| 0-8y=40 | | 0-8=40 | | x^3=243 | | -52-92= | | (2x+5)(x^2+2x-10)=0 | | 1.3x=12.87 | | 1.2x=5.04 | | 16k+20=20-5k | | -10=-3x | | 1.2=0.3(1-0.5x) | | (x^2-8x)(-2x^2-3x+3)=0 | | -5x+0=9 | | ln(x+2)-ln(x-4)=6 | | 3n+5+4n=33 | | 0=-x^2+0+4 | | B-49=-3 | | 3x^2-20x+40=0 | | -8+2y=4 | | 2ln-6x=2 | | 4x-6(4x-17)=-58 | | 125x^3-64x=0 | | 52.7=3.4m | | x^3+x^2=4 | | =80-6x^2 | | 25+8x=0 | | 2(z-3)=4(z+3)-10 | | 1.8x=6.3 | | (m-1)(-3m+1)=0 | | 13-r-19=8r+4-6r | | 1.2f=15 | | 52+4(36)= | | 52x+4(36)= |

Equations solver categories