ln(y)=ln(20x)+ln(C)

Simple and best practice solution for ln(y)=ln(20x)+ln(C) 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)=ln(20x)+ln(C) equation: 


Simplifying
ln(y) = ln(20x) + ln(C)

Multiply ln * y
lny = ln(20x) + ln(C)

Remove parenthesis around (20x)
lny = ln * 20x + ln(C)

Reorder the terms for easier multiplication:
lny = 20ln * x + ln(C)

Multiply ln * x
lny = 20lnx + ln(C)

Multiply ln * C
lny = 20lnx + lnC

Reorder the terms:
lny = lnC + 20lnx

Solving
lny = lnC + 20lnx

Solving for variable 'l'.

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

Add '-1lnC' to each side of the equation.
-1lnC + lny = lnC + -1lnC + 20lnx

Combine like terms: lnC + -1lnC = 0
-1lnC + lny = 0 + 20lnx
-1lnC + lny = 20lnx

Add '-20lnx' to each side of the equation.
-1lnC + -20lnx + lny = 20lnx + -20lnx

Combine like terms: 20lnx + -20lnx = 0
-1lnC + -20lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1C + -20x + 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 '(-1C + -20x + y)' equal to zero and attempt to solve:

Simplifying
-1C + -20x + y = 0

Solving
-1C + -20x + y = 0

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

Add 'C' to each side of the equation.
-1C + -20x + C + y = 0 + C

Reorder the terms:
-1C + C + -20x + y = 0 + C

Combine like terms: -1C + C = 0
0 + -20x + y = 0 + C
-20x + y = 0 + C
Remove the zero:
-20x + y = C

Add '20x' to each side of the equation.
-20x + 20x + y = C + 20x

Combine like terms: -20x + 20x = 0
0 + y = C + 20x
y = C + 20x

Add '-1y' to each side of the equation.
y + -1y = C + 20x + -1y

Combine like terms: y + -1y = 0
0 = C + 20x + -1y

Simplifying
0 = C + 20x + -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:

| 6+2z=12 | | 258/922 | | (x+3)(x-1)+(x+2)(x-1)=0 | | -13x-4(x+1)=-2(3x+4) | | -3(1-7x)=9(9+7x) | | 27=3.14d | | 2-3(4-x)=6+4(2x+1) | | 4y+13x=10 | | 4x^2+20x=-6.25 | | 8x+4(6-x)=2x-18 | | 6+-8p=38 | | 10x+3=6x+5 | | 4x+32=6x+32 | | K=2/3x6/25x5/7= | | 6-8p=32 | | x^(-1/2)=300 | | 125=3c+38 | | -7x=12-1(4x-9) | | 2a^2-13a+6=0 | | 4x+-2=-1x+8 | | 3-2a=12-4a | | 2x+4+60=180 | | 4x+6=9x-4 | | c(x)=2+3x^2-x^3 | | 2x^2-14x=6 | | 7/8b-4=10 | | x+28=-5 | | -5+3x=-35 | | 0.2(108+t)=4t+8.3 | | 3.2-4=-5.7 | | 24=2(1+0.25l)+2l | | y+(0.4)=2 |

Equations solver categories