ln(x+3)=ln(4x)

Simple and best practice solution for ln(x+3)=ln(4x) 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(4x) equation:


Simplifying
ln(x + 3) = ln(4x)

Reorder the terms:
ln(3 + x) = ln(4x)
(3 * ln + x * ln) = ln(4x)
(3ln + lnx) = ln(4x)

Remove parenthesis around (4x)
3ln + lnx = ln * 4x

Reorder the terms for easier multiplication:
3ln + lnx = 4ln * x

Multiply ln * x
3ln + lnx = 4lnx

Solving
3ln + lnx = 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
3ln + lnx + -4lnx = 4lnx + -4lnx

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

Combine like terms: 4lnx + -4lnx = 0
3ln + -3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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:

| 5/9=14c-5/12 | | -7(x-3)=48 | | 3n^2+23n-8=0 | | 5n-4y=10 | | x^2-25x+4=0 | | 4w+3=-5 | | 4(3y+3)=3(2y-4) | | -29=3y-8 | | 8x+8578548=75648965789 | | 4log(x^2-2x)=3/2 | | 8+x=8573 | | 5x^3+5x^2-16x=0 | | (x^2)+(2y^2)+2x-4y+3=0 | | (5x^2-2x+4)(2x^2+3+1)= | | 72-x=51 | | -5(u-6)=4u+48 | | 60=5y+10 | | -3+3w=-21 | | -3w-33=7(w-9) | | x^2-2=x+4 | | -2(w+7)=-5w-41 | | x*1.0275=200 | | 2u+2=-8 | | (2x-5)/4=8 | | 2z^2+4z-10=0 | | 2x+7/4-x+1/3=3/4 | | x*.0275=200 | | 4x+276=14x-14 | | 2+x(-9)=1 | | x*20*340=9 | | (3/2)-(7/4)X=(-7/8) | | -4x+4=4(2x-3)-(3x+7) |

Equations solver categories