2ln(4x)+3ln(x)=1.5

Simple and best practice solution for 2ln(4x)+3ln(x)=1.5 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 2ln(4x)+3ln(x)=1.5 equation: 


Simplifying
2ln(4x) + 3ln(x) = 1.5

Remove parenthesis around (4x)
2ln * 4x + 3ln(x) = 1.5

Reorder the terms for easier multiplication:
2 * 4ln * x + 3ln(x) = 1.5

Multiply 2 * 4
8ln * x + 3ln(x) = 1.5

Multiply ln * x
8lnx + 3ln(x) = 1.5

Multiply ln * x
8lnx + 3lnx = 1.5

Combine like terms: 8lnx + 3lnx = 11lnx
11lnx = 1.5

Solving
11lnx = 1.5

Solving for variable 'l'.

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

Divide each side by '11nx'.
l = 0.1363636364n-1x-1

Simplifying
l = 0.1363636364n-1x-1

See similar equations:

| -2y-8=-2y+20 | | 12y-3x=4 | | x^2+18x+20= | | 150.00c+1000.00=2200 | | 100+0.28x=158.80 | | V=x^3-5x^2-2x+24 | | t=-2(15)+54 | | 4x+6+3x=34 | | 3y+-9=12 | | (1-3i)-(-3+7i)= | | c=19(3.8)-4 | | (3-4i)+(5-6i)= | | 3x+14=56 | | 0.1948-0.0036*x^2=0 | | 0.1948*x-0.0036*x^2=0 | | 4.00s+20.00=20 | | 4.00s+20.00=200 | | -y^2-8y-12=0 | | 9m+18=-6m-42 | | -5(3-19)=19+1 | | 0.4826-0.0008602*x^2=0 | | t(t+2)-143=0 | | 6y+y^2+9=0 | | -5(3-9)=9+1 | | y^2+9=-6y | | 0.4826*x-0.0008602*x^3=0 | | 8a^2-30a+25=0 | | x(10-x)=21 | | A+4=3(a-5) | | y(4y-15)=4 | | 0.000000000735*x^4-0.0714*x^2+0.1568=0 | | 3.6-5ln(x+4)=22 |

Equations solver categories