ln*(6x+11)-ln*x=ln*7

Simple and best practice solution for ln*(6x+11)-ln*x=ln*7 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*(6x+11)-ln*x=ln*7 equation: 


Simplifying
ln(6x + 11) + -1ln * x = ln * 7

Reorder the terms:
ln(11 + 6x) + -1ln * x = ln * 7
(11 * ln + 6x * ln) + -1ln * x = ln * 7
(11ln + 6lnx) + -1ln * x = ln * 7

Multiply ln * x
11ln + 6lnx + -1lnx = ln * 7

Combine like terms: 6lnx + -1lnx = 5lnx
11ln + 5lnx = ln * 7

Reorder the terms for easier multiplication:
11ln + 5lnx = 7ln

Solving
11ln + 5lnx = 7ln

Solving for variable 'l'.

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

Add '-7ln' to each side of the equation.
11ln + -7ln + 5lnx = 7ln + -7ln

Combine like terms: 11ln + -7ln = 4ln
4ln + 5lnx = 7ln + -7ln

Combine like terms: 7ln + -7ln = 0
4ln + 5lnx = 0

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


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Add '-5x' to each side of the equation.
5x + -5x = -4 + -5x

Combine like terms: 5x + -5x = 0
0 = -4 + -5x

Simplifying
0 = -4 + -5x

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^2-xy-30y^2= | | 3500-90m=0 | | 8-4t=3t-20 | | 7x-9(x-1)=-9 | | -11x+6=7 | | w^3-5w^2+6w-2=0 | | 29.50=19.50+0.25*n | | 5x^2-25x-1=0 | | 5y+2=4y+8 | | m^3-m=0 | | q+(-9)=14 | | x^2+6x-26=9 | | 19-n+n= | | -5(3-x)=25+3x | | -23=t-81 | | 7x+28=48 | | 5p^2-60=5p | | 9(d+4)=3(d-6)+6d | | 4x+12+6x-14=360 | | 0=2x^2+9-8x | | 6(x+2)+4=14 | | 6d+1=15+d | | -8+m=-22 | | -5.47+k=-14 | | 3(3y-4)-4=17 | | -11+r=29 | | 6x-3(x-4)=12 | | 2x-(5-x)=5/2 | | 2.2-0.3a+6=10 | | -13+k=-37 | | 9n^2+2n=0 | | 3+6(x-13)=-18 |

Equations solver categories