Simplify Equations: x - 3y + (1 + ln3) = 0 | Step-by-Step Solution

[nesan]

Homework Statement

y - 1 / 3 = 1 / 3 (x - ln(1/3))

The Attempt at a Solution

y - 1 / 3 = 1 / 3 (x - ln(1/3))

0 = 1 /3 x - 1/3 ln(1 / 3) + 1 / 3 - y

0 = x - ln(1 / 3) + 1 - 3y

I don't see any problem with it.

Text book says it's wrong. >_<

The answer is = x - 3y + (1 + ln3) = 0

 

[Steely Dan]

You have pretty much the same thing, except that they have used

\text{ln}( 1/x ) = \text{ln}( x^{-1} ) = -\text{ln}(x)

to convert \text{ln}(1/3) to -\text{ln}(3).

 

[SammyS]

Homework Statement

y - 1 / 3 = 1 / 3 (x - ln(1/3))

The Attempt at a Solution

y - 1 / 3 = 1 / 3 (x - ln(1/3))

0 = 1 /3 x - 1/3 ln(1 / 3) + 1 / 3 - y

0 = x - ln(1 / 3) + 1 - 3y

I don't see any problem with it.

Text book says it's wrong. >_<

The answer is = x - 3y + (1 + ln3) = 0

Your result and the book answer are equivalent.

ln(1/3) = ln(3^-1) = (-1) ln(3)

 

[nesan]

You have pretty much the same thing, except that they have used

\text{ln}( 1/x ) = \text{ln}( x^{-1} ) = -\text{ln}(x)

to convert \text{ln}(1/3) to -\text{ln}(3).

Thank you very much. :]

Your result and the book answer are equivalent.

ln(1/3) = ln(3^-1) = (-1) ln(3)

Thank you very much. :]