Ln(X+9)=2ln(X-3)

Simple and best practice solution for Ln(X+9)=2ln(X-3) 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+9)=2ln(X-3) equation:


Simplifying
Ln(X + 9) = 2ln(X + -3)

Reorder the terms:
nL(9 + X) = 2ln(X + -3)
(9 * nL + X * nL) = 2ln(X + -3)
(9nL + nLX) = 2ln(X + -3)

Reorder the terms:
9nL + nLX = 2ln(-3 + X)
9nL + nLX = (-3 * 2ln + X * 2ln)
9nL + nLX = (-6ln + 2lnX)

Solving
9nL + nLX = -6ln + 2lnX

Solving for variable 'n'.

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

Add '6ln' to each side of the equation.
9nL + 6ln + nLX = -6ln + 6ln + 2lnX

Reorder the terms:
6ln + 9nL + nLX = -6ln + 6ln + 2lnX

Combine like terms: -6ln + 6ln = 0
6ln + 9nL + nLX = 0 + 2lnX
6ln + 9nL + nLX = 2lnX

Add '-2lnX' to each side of the equation.
6ln + 9nL + -2lnX + nLX = 2lnX + -2lnX

Reorder the terms:
6ln + -2lnX + 9nL + nLX = 2lnX + -2lnX

Combine like terms: 2lnX + -2lnX = 0
6ln + -2lnX + 9nL + nLX = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(6l + -2lX + 9L + LX) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(6l + -2lX + 9L + LX)' equal to zero and attempt to solve: Simplifying 6l + -2lX + 9L + LX = 0 Reorder the terms: 9L + LX + 6l + -2lX = 0 Solving 9L + LX + 6l + -2lX = 0 Move all terms containing n to the left, all other terms to the right. Add '-9L' to each side of the equation. 9L + LX + 6l + -9L + -2lX = 0 + -9L Reorder the terms: 9L + -9L + LX + 6l + -2lX = 0 + -9L Combine like terms: 9L + -9L = 0 0 + LX + 6l + -2lX = 0 + -9L LX + 6l + -2lX = 0 + -9L Remove the zero: LX + 6l + -2lX = -9L Add '-1LX' to each side of the equation. LX + 6l + -1LX + -2lX = -9L + -1LX Reorder the terms: LX + -1LX + 6l + -2lX = -9L + -1LX Combine like terms: LX + -1LX = 0 0 + 6l + -2lX = -9L + -1LX 6l + -2lX = -9L + -1LX Add '-6l' to each side of the equation. 6l + -6l + -2lX = -9L + -1LX + -6l Combine like terms: 6l + -6l = 0 0 + -2lX = -9L + -1LX + -6l -2lX = -9L + -1LX + -6l Add '2lX' to each side of the equation. -2lX + 2lX = -9L + -1LX + -6l + 2lX Combine like terms: -2lX + 2lX = 0 0 = -9L + -1LX + -6l + 2lX Simplifying 0 = -9L + -1LX + -6l + 2lX The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

See similar equations:

| 4n-8=28 | | 7x=20+4c | | 2d-6=-28 | | -9=9(9-5)t | | 3x+7-x=9-10+5x | | 13p+9-4p-6= | | 9x+3x-9x=6+8c-11 | | 3/2y-4=x | | G(x)=log(1)-5 | | s/-(-5)=(-3/9) | | h(t)=-16t^2+48t+640 | | s/(-5)=(-3/9) | | h(t)=-16t^2+200t+20 | | 24x-5=5 | | 1/x=1/3 | | log^2x-1logx=0 | | log^2x-logx=0 | | 5.7*0.03= | | 81x=36x | | 23.5*0.04= | | 12000+r^6=24000 | | 9/9x=3/9 | | 12000+12000r^6=24000 | | 2x+6y-2z+11=0 | | 15p/(1-3p)^2 | | x+5+x=28 | | 3x+x=w | | 4x^2+5x+95x=0 | | 3(X-5)=X-1 | | z^3=-125i | | 2x^2+50=9 | | 5+4a-(4a+3)-(5a+9)= |

Equations solver categories