lnx=-ln(x-4)+ln(x+6)

Simple and best practice solution for lnx=-ln(x-4)+ln(x+6) 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 lnx=-ln(x-4)+ln(x+6) equation: 


Simplifying
lnx = -1ln(x + -4) + ln(x + 6)

Reorder the terms:
lnx = -1ln(-4 + x) + ln(x + 6)
lnx = (-4 * -1ln + x * -1ln) + ln(x + 6)
lnx = (4ln + -1lnx) + ln(x + 6)

Reorder the terms:
lnx = 4ln + -1lnx + ln(6 + x)
lnx = 4ln + -1lnx + (6 * ln + x * ln)
lnx = 4ln + -1lnx + (6ln + lnx)

Reorder the terms:
lnx = 4ln + 6ln + -1lnx + lnx

Combine like terms: 4ln + 6ln = 10ln
lnx = 10ln + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
lnx = 10ln + 0
lnx = 10ln

Solving
lnx = 10ln

Solving for variable 'l'.

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

Add '-10ln' to each side of the equation.
-10ln + lnx = 10ln + -10ln

Combine like terms: 10ln + -10ln = 0
-10ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-10 + 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 '(-10 + x)' equal to zero and attempt to solve:

Simplifying
-10 + x = 0

Solving
-10 + x = 0

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

Add '10' to each side of the equation.
-10 + 10 + x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + x = 0 + 10
x = 0 + 10

Combine like terms: 0 + 10 = 10
x = 10

Add '-1x' to each side of the equation.
x + -1x = 10 + -1x

Combine like terms: x + -1x = 0
0 = 10 + -1x

Simplifying
0 = 10 + -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(p+16)=2p-2 | | X+109=89+180 | | 12000=400x+3600 | | 24x-2(7x-0.965)=9x+0.075 | | 10(x+3)-30=90 | | 3(y+5)=22 | | 3y=(2y-1)*4 | | 6x=5+10 | | 40+8r=70 | | 3A/2=16 | | ln2/ln1,5 | | Graphy=5 | | -8x+y=16 | | 140=89+y | | 6+2x=(7x-9) | | X+15+4x+10+x-25=180 | | 8m+5=11 | | 5-3x+2=x+7+5x | | 4x-6=-x+8 | | 6y+4y=10 | | x=(2-4x)^1/2 | | ydx+(y+x)dy=o | | 2-x^2+x=2 | | 42+20+x+x-10=180 | | 24X-2(x-0.965)=9x+0.075 | | 4(3x-3)=5-(3+4x) | | 2x+5=-3-2 | | a/2-a^4/16 | | secx(1/acc(x))-3sinx=0 | | 10-9+8-7+6= | | 3x-99= | | 454-35663114672937373372729203997338399=7 |

Equations solver categories