ln(x+6)+ln(x)=2ln(4)

Simple and best practice solution for ln(x+6)+ln(x)=2ln(4) 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+6)+ln(x)=2ln(4) equation:


Simplifying
ln(x + 6) + ln(x) = 2ln(4)

Reorder the terms:
ln(6 + x) + ln(x) = 2ln(4)
(6 * ln + x * ln) + ln(x) = 2ln(4)
(6ln + lnx) + ln(x) = 2ln(4)

Multiply ln * x
6ln + lnx + lnx = 2ln(4)

Combine like terms: lnx + lnx = 2lnx
6ln + 2lnx = 2ln(4)

Reorder the terms for easier multiplication:
6ln + 2lnx = 2 * 4ln

Multiply 2 * 4
6ln + 2lnx = 8ln

Solving
6ln + 2lnx = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
6ln + -8ln + 2lnx = 8ln + -8ln

Combine like terms: 6ln + -8ln = -2ln
-2ln + 2lnx = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-2ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-1 + x) = 0

Ignore the factor 2.

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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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:

| (3x+y)(3x+y)(3x+y)(3x+y)(3x+y)(3x+y)(3x+y)= | | 9y+2-3(-2y-2)= | | 3m^2-16-2=-7 | | X=x^2-8x+3 | | (F)x=x^2-8x+3 | | 7=3(x-3)-(x-6) | | 41x=-27-5 | | Volume=3.14r(10) | | 10y=x^2-10x-15 | | 15x+(-6x)= | | 3(w+2)-1=0 | | 8ln(x+7)-5lnx= | | 3(sin(8x))(cos(8x))= | | 5sin2x/5 | | -6y^2+5=113 | | r=-0.591 | | M[M-7]=0 | | x^2+11x-213=0 | | 488+{9*3}= | | 2x^2+6x+3=5 | | 9(24-19)= | | 2(4x+8)=8 | | (x+y)*dx+(3x+3y-4)*dx=0 | | 48/8+{9*3}= | | 7(-8+6x)=357 | | 48/8+9*3= | | 8x^2-80x+10=-190 | | 0=-16t^2+128t+200 | | sinx*cosx-2cosx=0 | | 7x^2+10x-62=0 | | 7x^2+10x-6=0 | | (x+7)(x+10)=130 |

Equations solver categories