ln(6x)=ln(x^2-16)

Simple and best practice solution for ln(6x)=ln(x^2-16) 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)=ln(x^2-16) equation: 


Simplifying
ln(6x) = ln(x2 + -16)

Remove parenthesis around (6x)
ln * 6x = ln(x2 + -16)

Reorder the terms for easier multiplication:
6ln * x = ln(x2 + -16)

Multiply ln * x
6lnx = ln(x2 + -16)

Reorder the terms:
6lnx = ln(-16 + x2)
6lnx = (-16 * ln + x2 * ln)
6lnx = (-16ln + lnx2)

Solving
6lnx = -16ln + lnx2

Solving for variable 'l'.

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

Add '16ln' to each side of the equation.
16ln + 6lnx = -16ln + 16ln + lnx2

Combine like terms: -16ln + 16ln = 0
16ln + 6lnx = 0 + lnx2
16ln + 6lnx = lnx2

Add '-1lnx2' to each side of the equation.
16ln + 6lnx + -1lnx2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
16ln + 6lnx + -1lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(16 + 6x + -1x2) = 0

Factor a trinomial.
ln((8 + -1x)(2 + x)) = 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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Add 'x' to each side of the equation.
-1x + x = -8 + x

Combine like terms: -1x + x = 0
0 = -8 + x

Simplifying
0 = -8 + x

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Add '-1x' to each side of the equation.
x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -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:

| 5.4q-1.9-5.6q=1.2q-3.3 | | -2(-4+c)= | | -5=3x-14 | | -5(p-5)= | | 9x(5+3)= | | x^2+15x-154=0 | | (-4x)-(4*(3x)+5)=-84 | | -16t^2+32t-17=0 | | (-4x)-(4x(3x)+5)=-84 | | -0.666666667(5p-16)=10 | | x+9x-13=17 | | -4x+6=24 | | -3x=5x+17 | | 5(6+x)=40 | | 123=y+168 | | 2x-4.6=x+2.8 | | 8(x+3)-6x=52 | | 7x-5x=-42 | | 3(x-9)=-27 | | 2(n-3)+2= | | 8x-7-7x= | | a=b+c | | 4x+6=882 | | 2x+4x=4+1 | | y=0+2(-1) | | 12y^2-48=0 | | 5x^2-23y+12= | | -0.625+m=0.333333333333333 | | 2x^2+2x-35=0 | | 8x+4=6x-12 | | 8x^2-18x+15=0 | | y=2-2(-1) |

Equations solver categories