6ln(x+8)=3lnx

Simple and best practice solution for 6ln(x+8)=3lnx 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 6ln(x+8)=3lnx equation: 


Simplifying
6ln(x + 8) = 3lnx

Reorder the terms:
6ln(8 + x) = 3lnx
(8 * 6ln + x * 6ln) = 3lnx
(48ln + 6lnx) = 3lnx

Solving
48ln + 6lnx = 3lnx

Solving for variable 'l'.

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

Add '-3lnx' to each side of the equation.
48ln + 6lnx + -3lnx = 3lnx + -3lnx

Combine like terms: 6lnx + -3lnx = 3lnx
48ln + 3lnx = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
48ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(16 + x) = 0

Ignore the factor 3.

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 '(16 + x)' equal to zero and attempt to solve:

Simplifying
16 + x = 0

Solving
16 + x = 0

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

Add '-16' to each side of the equation.
16 + -16 + x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x = 0 + -16
x = 0 + -16

Combine like terms: 0 + -16 = -16
x = -16

Add '-1x' to each side of the equation.
x + -1x = -16 + -1x

Combine like terms: x + -1x = 0
0 = -16 + -1x

Simplifying
0 = -16 + -1x

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:

| 24/2=3x | | 100/2=2x | | x+8y=12.3 | | -18+24=12.5 | | 5f(5-3)=4f-30 | | 100/2x=2 | | 6x+2y=-4.5 | | 60/-x=5 | | 20/-x=2 | | 50-38=3x(x) | | -x=-2-2-2 | | 2m^2+12m-14=0 | | 1y+2-3y=1y+2 | | 56/7=(x)-5 | | 6b^2+36b+48=0 | | 2i+(1x+1y)= | | (t^2-4t-5)+(6t^2-7t+3)= | | 28z(7)-22w(7)= | | 2(x+3)=15-3x | | 686+.05x= | | 470+.08x= | | -64+11= | | 2(x+y)-6=0 | | r^2+4=-1 | | -31x=-32x+9 | | (2x-(1/x))^2 | | X+x+x+20=5x | | 2(4x)=7x-14 | | 5(2x+20)=15x | | 3x+2+x+3=2x+1 | | 4x^4+3x^2+-1=0 | | 1/4x-83/4 |

Equations solver categories