ln(2x^2)=1+ln(4x)

Simple and best practice solution for ln(2x^2)=1+ln(4x) 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(2x^2)=1+ln(4x) equation:


Simplifying
ln(2x2) = 1 + ln(4x)

Remove parenthesis around (2x2)
ln * 2x2 = 1 + ln(4x)

Reorder the terms for easier multiplication:
2ln * x2 = 1 + ln(4x)

Multiply ln * x2
2lnx2 = 1 + ln(4x)

Remove parenthesis around (4x)
2lnx2 = 1 + ln * 4x

Reorder the terms for easier multiplication:
2lnx2 = 1 + 4ln * x

Multiply ln * x
2lnx2 = 1 + 4lnx

Solving
2lnx2 = 1 + 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
-4lnx + 2lnx2 = 1 + 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-4lnx + 2lnx2 = 1 + 0
-4lnx + 2lnx2 = 1

Reorder the terms:
-1 + -4lnx + 2lnx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -4lnx + 2lnx2 = 0

The solution to this equation could not be determined.

See similar equations:

| 15n=-255 | | 20x+50y=28 | | 4d-11=2d+9 | | 4x-5y=-16 | | 5x-13=33 | | 7(-4-5x)=-28+4x | | 27=n+17 | | 1/8(16y-40)=3 | | 8x+16.95=52.55 | | 0.3x-0.3=6x-6 | | 1.3(2.8)3x=7(4.2)x | | 3x+3=X+2+33 | | 3(x+3)=4+3x | | F(-7)=3x^2 | | 6x^2-44x+14=0 | | 1n+4=19-3n | | 50x+25x-50=180 | | 2x+45+4x-75=180 | | x^0y^0= | | 37.242=3.659x+-3.58 | | 86=-2(7p-8) | | 247=19m | | -154=14n | | -9x^2-3x+8=0 | | 50x=25x-50 | | 14x=216 | | 7k+3=32 | | 5k+2(k+1)=23 | | 183-a+a= | | 10-5x=-45 | | x=280ln(x+1)+1925 | | 48+2x=180 |

Equations solver categories