ln(x-4)-2lnx=5

Simple and best practice solution for ln(x-4)-2lnx=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 ln(x-4)-2lnx=5 equation:


Simplifying
ln(x + -4) + -2lnx = 5

Reorder the terms:
ln(-4 + x) + -2lnx = 5
(-4 * ln + x * ln) + -2lnx = 5
(-4ln + lnx) + -2lnx = 5

Combine like terms: lnx + -2lnx = -1lnx
-4ln + -1lnx = 5

Solving
-4ln + -1lnx = 5

Solving for variable 'l'.

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

Reorder the terms:
-5 + -4ln + -1lnx = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -4ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 4ln + lnx) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + 4ln + lnx)' equal to zero and attempt to solve: Simplifying 5 + 4ln + lnx = 0 Solving 5 + 4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4ln + -5 + lnx = 0 + -5 Reorder the terms: 5 + -5 + 4ln + lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4ln + lnx = 0 + -5 4ln + lnx = 0 + -5 Combine like terms: 0 + -5 = -5 4ln + lnx = -5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| -3x+9+x=11 | | 12-34z-23+34=67 | | 2x+3x-3=7 | | 7s+14=-35 | | 16a+4b+b= | | -63=x+7x+1 | | 20x+10(44-x)=620 | | 6x-20=2x+5 | | x+100(10(27x+4)-4)=12.7 | | 5.3-c=-6.4 | | 2x-2(3x-4)+5=25 | | 0.3*7.75= | | 4x+2x+27=-3 | | X-2z=4 | | 2x+(x-2)=11 | | 8-x=-11 | | X^3+8x^2+15=0 | | 13=6x-2 | | 2n+13=40 | | 20+c=(8c+14) | | 3x-37=20 | | 500x-30=150+20 | | ln(x)-7=0 | | tan(2x)-cot(x)=0 | | 4x+7+x-5=-18 | | 2.5x+4.7=7.7x | | 2(x+3)=5(1-x) | | x+(x*0.04)=3000 | | 2x-3+5x=-17 | | 6m=0.06 | | Ha=y | | 5+x+2x=22 |

Equations solver categories