ln(5x-3)=ln(2x)

Simple and best practice solution for ln(5x-3)=ln(2x) 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(5x-3)=ln(2x) equation:


Simplifying
ln(5x + -3) = ln(2x)

Reorder the terms:
ln(-3 + 5x) = ln(2x)
(-3 * ln + 5x * ln) = ln(2x)
(-3ln + 5lnx) = ln(2x)

Remove parenthesis around (2x)
-3ln + 5lnx = ln * 2x

Reorder the terms for easier multiplication:
-3ln + 5lnx = 2ln * x

Multiply ln * x
-3ln + 5lnx = 2lnx

Solving
-3ln + 5lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-3ln + 5lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 5lnx + -2lnx = 3lnx
-3ln + 3lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-3ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-1 + x) = 0

Ignore the factor 3.

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:

| 26x+7=4(5x+4)+6+1 | | 1200(45+n)=18000(60+n) | | 10v=4v+54 | | 5x+5y=3y+8 | | 28+19a=42+12a | | 6x-4(3x-2x)=5(x-4)-10 | | -5x-6+2=6-3x | | 28+19=42+12 | | 7(4z^2-2y^2)= | | 4y=2(y-5)2 | | 6+7i=7i+6 | | 2(w+7)=2w+14 | | 8+9b=3b-16 | | 3t+10.5=90 | | 7y-10+2y+5=12 | | -16=8(x+2) | | 8y+10=-2y+110 | | n^2-1n-56=0 | | -55=5k | | 15+5x=335 | | 2n-4=6.2 | | 6a+9=6a-2 | | -3x^2+y=-6x+12 | | 2y-1/4=5y-4/8 | | 6x-4=8x-22 | | 25-6x=31 | | 10x+8=9x+22 | | 9=3+s | | -2w-9=-23 | | 2x+(5x+4)=32 | | -5+6h=-2 | | 0=-4x^4+3x^3-2x^2 |

Equations solver categories