ln(y)=ln(5x)+ln(C)

Simple and best practice solution for ln(y)=ln(5x)+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(5x)+ln(C) equation: 


Simplifying
ln(y) = ln(5x) + ln(C)

Multiply ln * y
lny = ln(5x) + ln(C)

Remove parenthesis around (5x)
lny = ln * 5x + ln(C)

Reorder the terms for easier multiplication:
lny = 5ln * x + ln(C)

Multiply ln * x
lny = 5lnx + ln(C)

Multiply ln * C
lny = 5lnx + lnC

Reorder the terms:
lny = lnC + 5lnx

Solving
lny = lnC + 5lnx

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 + 5lnx

Combine like terms: lnC + -1lnC = 0
-1lnC + lny = 0 + 5lnx
-1lnC + lny = 5lnx

Add '-5lnx' to each side of the equation.
-1lnC + -5lnx + lny = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
-1lnC + -5lnx + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1C + -5x + 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 + -5x + y)' equal to zero and attempt to solve:

Simplifying
-1C + -5x + y = 0

Solving
-1C + -5x + 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 + -5x + C + y = 0 + C

Reorder the terms:
-1C + C + -5x + y = 0 + C

Combine like terms: -1C + C = 0
0 + -5x + y = 0 + C
-5x + y = 0 + C
Remove the zero:
-5x + y = C

Add '5x' to each side of the equation.
-5x + 5x + y = C + 5x

Combine like terms: -5x + 5x = 0
0 + y = C + 5x
y = C + 5x

Add '-1y' to each side of the equation.
y + -1y = C + 5x + -1y

Combine like terms: y + -1y = 0
0 = C + 5x + -1y

Simplifying
0 = C + 5x + -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:

| 3(x+1)-4=3 | | 4a(x+2)-a(x+2)= | | y-2+5=16 | | 30+2(6x-8)=2x-(5-2x)+51 | | ax+b+c=0 | | 6(x-2)=2(x+7) | | 7-8x=115-36x | | 7x+30=4x | | x=45-2x | | 26=21 | | 127-5x=5x+7 | | 3x+9=81-5x | | 7h+3=2h-7 | | 5x-4=13x-52 | | 2x+4=3x+6 | | 10x-9=9(x-1) | | 3x+22=10x+62 | | 0.2x+0.22x=0.84 | | 4x-4=4(x-2) | | 8x+4=5x-8 | | p=b+a+2c | | 8x+4=6x-2 | | 8x+4=6x-6 | | 4(2x+1)+8=9x+1 | | 7(x+3)=9(x-2) | | -x-2y=6 | | 4x+1=3x+2 | | x+8=-7x+16 | | t-4=-2t+8 | | 5x+2=4x+4 | | (x+3)(x+3)=14 | | 6x+6y=6 |

Equations solver categories