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

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


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

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

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

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

Multiply ln * x
4ln + lnx = 2lnx

Solving
4ln + lnx = 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.
4ln + lnx + -2lnx = 2lnx + -2lnx

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

Combine like terms: 2lnx + -2lnx = 0
4ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + -1x) = 0


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 '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Add 'x' to each side of the equation.
-1x + x = -4 + x

Combine like terms: -1x + x = 0
0 = -4 + x

Simplifying
0 = -4 + 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:

| 3x/2=10x/5 | | ln(15x)=ln(x^2+56) | | 2x*3=4x*3 | | 0.02(2t-9)=0.04(t+1)-0.22 | | 4x*3=10x | | 5+5x= | | X^3-15X^2+66X-80=0 | | 14a-3b-4a+b= | | 6x-4x+3x-y+2y= | | 0.03-0.02(x+1)=-0.01(2-x) | | 2x*4=6x | | 2(2n+4)=7(4n+5)+4 | | c(3.10)=300+0.92(3.10) | | c(x)=300+0.92x | | 3y+z=10 | | 2000+3r= | | -3-8/15+-8= | | 2x-z=8 | | 50-18x^2=0 | | 2x-3/5--4= | | -12k^2+20k+57=0 | | 7(a+x)=49 | | -12k^2+20k+39=0 | | a(b-3)=4 | | 109-4x=32x+17 | | =31 | | 4a^2-5b+1=0 | | 20k^2-44k-39=0 | | 0-4x=12-7 | | 27-6=11 | | 2y-4=-11+3y | | 4x-6=4(x-2) |

Equations solver categories