ln(y)=-3ln(x)

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


Simplifying
ln(y) = -3ln(x)

Multiply ln * y
lny = -3ln(x)

Multiply ln * x
lny = -3lnx

Solving
lny = -3lnx

Solving for variable 'l'.

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

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

Combine like terms: -3lnx + 3lnx = 0
3lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3x + y) = 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 '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-3x' to each side of the equation.
3x + -3x + y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + y = 0 + -3x
y = 0 + -3x
Remove the zero:
y = -3x

Add '-1y' to each side of the equation.
y + -1y = -3x + -1y

Combine like terms: y + -1y = 0
0 = -3x + -1y

Simplifying
0 = -3x + -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:

| ln(f(x))=-3ln(x) | | x^2-2x=3x+5 | | factorh^2+6h-6=0 | | factorh^2+6h=16 | | r^2-10r+(-5)=-17 | | 3x+2[y+-1[3x+-1(z+-2y)]+z]+-2y=0 | | 36x^2-1x=0 | | 34x+73y=1 | | 2x-1/3-6x-2/5=1/3 | | X^5+x+1=0 | | solve(3-w)(2w+7)=0 | | 11-4x=23 | | t+24=16 | | -2-13= | | 3(4m+5)-12=2m+7 | | 13-3x=-2 | | 10p-13=4p-4 | | 4x^2+22x-53500=0 | | 2(3q+1)=5q-3 | | 4.3q-2.1-4.8q=-1.5q-2.7 | | 5p+7+9p=-21forp | | 2p-3=4/10(3p-4) | | x+x+3x+3x=22 | | 3n+19=25-3n | | 38.72-23.19= | | 38.72-23.19=31.18 | | 9.1+18.1+13.4+v=62.5 | | 10.8+8.7+w=31.9 | | 10.8+8.7+w=31.0 | | 10.8+8.7=31.9 | | pd=ps | | q+18.3=20 |

Equations solver categories