ln(4y)=4ln(x)

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


Simplifying
ln(4y) = 4ln(x)

Remove parenthesis around (4y)
ln * 4y = 4ln(x)

Reorder the terms for easier multiplication:
4ln * y = 4ln(x)

Multiply ln * y
4lny = 4ln(x)

Multiply ln * x
4lny = 4lnx

Solving
4lny = 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.
-4lnx + 4lny = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
-4lnx + 4lny = 0

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

Ignore the factor 4.

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

Simplifying
-1x + y = 0

Solving
-1x + y = 0

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

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

Combine like terms: -1x + x = 0
0 + y = 0 + x
y = 0 + x
Remove the zero:
y = x

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

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

Simplifying
0 = x + -1y

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:

| y=4ln(y) | | log*x=2 | | 25=ln(4-x) | | 4x-18x=x | | G=3x+2aB | | 4cosx=x | | ln(6-2x)+ln(5)=2 | | 12x+3y+24+6y= | | -3-(2.0-1)+-3= | | 1/2y=x | | 5/7=x/11 | | 3r(4r-3)=0 | | x(x-1)(x-2)(x-3)+8=0 | | x^2+4y^2+z=1 | | 12-(8-8n)+17n=10+18(n+1) | | n+2=4*2 | | 0.5x=150-x | | -10x-0=4 | | 5h+4k+2h+3k= | | 4y+3x=2 | | 2/7=x/13 | | 3.5x+8=12.5-x | | -9+4y=5x | | a*3/4=24 | | 11x-3y=36 | | 15+4x=2x-9 | | Cubed=64 | | 3y+2x=11 | | 3w+7=6+5w | | 1/2(4+x)+2=16 | | 3y=9+18x | | -48-6y=0 |

Equations solver categories