ln(3x-2)=-4cos(0.5x)+1

Simple and best practice solution for ln(3x-2)=-4cos(0.5x)+1 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(3x-2)=-4cos(0.5x)+1 equation:


Simplifying
ln(3x + -2) = -4cos(0.5x) + 1

Reorder the terms:
ln(-2 + 3x) = -4cos(0.5x) + 1
(-2 * ln + 3x * ln) = -4cos(0.5x) + 1
(-2ln + 3lnx) = -4cos(0.5x) + 1

Remove parenthesis around (0.5x)
-2ln + 3lnx = -4cos * 0.5x + 1

Reorder the terms for easier multiplication:
-2ln + 3lnx = -4 * 0.5cos * x + 1

Multiply -4 * 0.5
-2ln + 3lnx = -2cos * x + 1

Multiply cos * x
-2ln + 3lnx = -2cosx + 1

Reorder the terms:
-2ln + 3lnx = 1 + -2cosx

Solving
-2ln + 3lnx = 1 + -2cosx

Solving for variable 'l'.

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

Reorder the terms:
-1 + 2cosx + -2ln + 3lnx = 1 + -2cosx + -1 + 2cosx

Reorder the terms:
-1 + 2cosx + -2ln + 3lnx = 1 + -1 + -2cosx + 2cosx

Combine like terms: 1 + -1 = 0
-1 + 2cosx + -2ln + 3lnx = 0 + -2cosx + 2cosx
-1 + 2cosx + -2ln + 3lnx = -2cosx + 2cosx

Combine like terms: -2cosx + 2cosx = 0
-1 + 2cosx + -2ln + 3lnx = 0

The solution to this equation could not be determined.

See similar equations:

| z^6-2z^3-1=0 | | x^2+x(2-i)+3-i=0 | | 6(y+5)=18 | | 6=30-2*x | | 6=30-2x | | 9(2h+3)= | | -27x=77 | | 5x^2-35x-60=0 | | 81-27x=4 | | 3x-30=2x-5 | | (X*.40)+X=75 | | x^2+19xy+48y^2=0 | | l=0.32t+40 | | 3-18x+24=0 | | x=(3x-45)+4 | | z^3+3z^2+9z+7=0 | | 8-k=12 | | 37x+29y=1000 | | x-5=12+8 | | log(4x+3)+logx=1 | | 33=3(x-4) | | 30x^2-8x+25=0 | | 2a(x^2-y)-5b(x^2-y)+c(x^2+y)=0 | | 5p+6=4p+9 | | 8y^2-28y-60= | | 6(3a+b)-z(3a+b)=0 | | -x^3-x^2+17x-15=0 | | 35abc^2-49ab^2c=0 | | 12y+4x=0 | | 3x+6y=42-2y | | 4(y-2)=22 | | 40a^2-16ab-24a=0 |

Equations solver categories