ln(X-3)+ln(X-1)=3ln(2)

Simple and best practice solution for ln(X-3)+ln(X-1)=3ln(2) 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-3)+ln(X-1)=3ln(2) equation:


Simplifying
ln(X + -3) + ln(X + -1) = 3ln(2)

Reorder the terms:
ln(-3 + X) + ln(X + -1) = 3ln(2)
(-3 * ln + X * ln) + ln(X + -1) = 3ln(2)
(-3ln + lnX) + ln(X + -1) = 3ln(2)

Reorder the terms:
-3ln + lnX + ln(-1 + X) = 3ln(2)
-3ln + lnX + (-1 * ln + X * ln) = 3ln(2)
-3ln + lnX + (-1ln + lnX) = 3ln(2)

Reorder the terms:
-3ln + -1ln + lnX + lnX = 3ln(2)

Combine like terms: -3ln + -1ln = -4ln
-4ln + lnX + lnX = 3ln(2)

Combine like terms: lnX + lnX = 2lnX
-4ln + 2lnX = 3ln(2)

Reorder the terms for easier multiplication:
-4ln + 2lnX = 3 * 2ln

Multiply 3 * 2
-4ln + 2lnX = 6ln

Solving
-4ln + 2lnX = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-4ln + -6ln + 2lnX = 6ln + -6ln

Combine like terms: -4ln + -6ln = -10ln
-10ln + 2lnX = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-10ln + 2lnX = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-5 + 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 '(-5 + X)' equal to zero and attempt to solve: Simplifying -5 + X = 0 Solving -5 + X = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + X = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X = 0 + 5 X = 0 + 5 Combine like terms: 0 + 5 = 5 X = 5 Add '-1X' to each side of the equation. X + -1X = 5 + -1X Combine like terms: X + -1X = 0 0 = 5 + -1X Simplifying 0 = 5 + -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:

| F(x)=2x^2+3+-7 | | 6(x+2)=12x-21 | | 4x-30=-3+12 | | 7x+11y=24 | | 3y-2(x+3)=0 | | 27-x=30 | | 4x/9=7x/3 | | 5(3X-4)-4(3X-8)+11X+3=3(6-X)+3(8X-22) | | x^2=4/3 | | Y=500+0.75(Y-100)+250 | | 7a^2-35=0 | | 7Z-18-2Z=-2-6Z | | 200x+(4-x)*150=175 | | -x+3=5x | | -500+0.25(Y-100)=250 | | 5x-9=27-3x | | 2(x+9)=4x+6 | | xy+3x+2y+6=0 | | y=(x^2)*ln(abs(x)) | | 3cosx=2-x | | 1.3x=y | | 5y-8=62 | | 84=7y-2 | | 7y-2=84 | | 2U+4+U=10 | | F(x)=7+6x-x*2 | | 7(x)+3(y)=7500 | | x^4-4x^2+8x-5=0 | | 7x-2=84 | | 4x-92=0 | | 5t^(-1)/-1 | | Z+a=n |

Equations solver categories