ln(3x-4)=ln(8)-ln(x-2)

Simple and best practice solution for ln(3x-4)=ln(8)-ln(x-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(3x-4)=ln(8)-ln(x-2) equation:


Simplifying
ln(3x + -4) = ln(8) + -1ln(x + -2)

Reorder the terms:
ln(-4 + 3x) = ln(8) + -1ln(x + -2)
(-4 * ln + 3x * ln) = ln(8) + -1ln(x + -2)
(-4ln + 3lnx) = ln(8) + -1ln(x + -2)

Reorder the terms for easier multiplication:
-4ln + 3lnx = 8ln + -1ln(x + -2)

Reorder the terms:
-4ln + 3lnx = 8ln + -1ln(-2 + x)
-4ln + 3lnx = 8ln + (-2 * -1ln + x * -1ln)
-4ln + 3lnx = 8ln + (2ln + -1lnx)

Combine like terms: 8ln + 2ln = 10ln
-4ln + 3lnx = 10ln + -1lnx

Solving
-4ln + 3lnx = 10ln + -1lnx

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.
-4ln + -10ln + 3lnx = 10ln + -10ln + -1lnx

Combine like terms: -4ln + -10ln = -14ln
-14ln + 3lnx = 10ln + -10ln + -1lnx

Combine like terms: 10ln + -10ln = 0
-14ln + 3lnx = 0 + -1lnx
-14ln + 3lnx = -1lnx

Add 'lnx' to each side of the equation.
-14ln + 3lnx + lnx = -1lnx + lnx

Combine like terms: 3lnx + lnx = 4lnx
-14ln + 4lnx = -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-14ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-7 + 2x) = 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 '(-7 + 2x)' equal to zero and attempt to solve: Simplifying -7 + 2x = 0 Solving -7 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 0 + 7 2x = 0 + 7 Combine like terms: 0 + 7 = 7 2x = 7 Add '-2x' to each side of the equation. 2x + -2x = 7 + -2x Combine like terms: 2x + -2x = 0 0 = 7 + -2x Simplifying 0 = 7 + -2x 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:

| -64-5y=64 | | 4y^2+7=12 | | 9p-9=p+103 | | 8-42/3*3 | | 6+2b=14 | | x/69/4-x/124x/4 | | 2(w+l)=p | | -9g+4=g+124 | | 5x-3+2x+6= | | 7.25w=-79.75 | | x/652/3x | | 1=2r-5 | | w+147=-8w+3 | | 135/-3^3 | | x/652/3 | | 7+x-9=10 | | 4.4x+51.6=28.0-7.4x | | 4y-5+y+53=8y+50-5y | | 7c+13=-12 | | 5p+10=-10 | | -5p+9=44 | | 8+4x-2(1-x)=6+10x-8 | | -91=7(-1+2x) | | g-84=-5g-6 | | 4ln(x^2)=6 | | S-t=2p | | -4t-3=t+247 | | 5(x+3)+2(x-7)=3x-1 | | -14x-12x=78 | | b-294=-6b-7 | | -2b+4=b+40 | | 1.09x=9.81 |

Equations solver categories