3+ln(8x)=24-2ln(x)

Simple and best practice solution for 3+ln(8x)=24-2ln(x) 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 3+ln(8x)=24-2ln(x) equation: 


Simplifying
3 + ln(8x) = 24 + -2ln(x)

Remove parenthesis around (8x)
3 + ln * 8x = 24 + -2ln(x)

Reorder the terms for easier multiplication:
3 + 8ln * x = 24 + -2ln(x)

Multiply ln * x
3 + 8lnx = 24 + -2ln(x)

Multiply ln * x
3 + 8lnx = 24 + -2lnx

Solving
3 + 8lnx = 24 + -2lnx

Solving for variable 'l'.

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

Add '2lnx' to each side of the equation.
3 + 8lnx + 2lnx = 24 + -2lnx + 2lnx

Combine like terms: 8lnx + 2lnx = 10lnx
3 + 10lnx = 24 + -2lnx + 2lnx

Combine like terms: -2lnx + 2lnx = 0
3 + 10lnx = 24 + 0
3 + 10lnx = 24

Add '-3' to each side of the equation.
3 + -3 + 10lnx = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 10lnx = 24 + -3
10lnx = 24 + -3

Combine like terms: 24 + -3 = 21
10lnx = 21

Divide each side by '10nx'.
l = 2.1n-1x-1

Simplifying
l = 2.1n-1x-1

See similar equations:

| 5x(25/(10-5)= | | 3-(2x-4)-(x-5)=0 | | A+B+C+D=480 | | 15x+5+16-4=-3 | | 1/0.10 | | 7sinx+5=1 | | 3(x-5)5=4x-62 | | 4B+11=7b-31 | | -7(w+4)=-5w-22 | | X^3-120x^2+900x=0 | | 3y-2(y-3)=10 | | 3x-30=6(x-7) | | -2D+20+2B=0 | | Log(x+2)+log(x-3)=log(3-14) | | -5(w+5)=-8w-16 | | 20000000000000000000000000x+675=4000003 | | -8/3*-9/2= | | 2ab=2ac+2bc | | 4x+12=4x-44 | | x=(3y-2)/6 | | 2n^2+4n-17=0 | | x=3y-2/6 | | 7x-6y=23 | | 26=3.14*r^2 | | x^2+3x=9x+27 | | 7c-8=13 | | (-8/3)(-9/2)= | | -15x+2=16-3x | | -5(1y-1)=0 | | x^2-7x-112=0 | | 18=3.14*r^2 | | 96-16= |

Equations solver categories