How Do I Rearrange I=K(cosØ)ⁿ Using Logarithms for Linearization?

[MrW]

Hi
i need to rearrange this formula

I=K(cosØ)ⁿ

in to linear format ( y=mx+c , y=mx)
and i need to use logs to do so which i have no idea about.
I understand the very basics of logs, even if someone could just give me a few clues how to work it out that would be great

can anyone help, will be v grateful

thanks

 

[Gza]

there is no "linear format" for the cos function. You could use taylor expansions to derive its series, but that's about it.

 

[TenaliRaman]

MrW,
are u working on some statistical data?

I = K (cos(phi))^n
Taking log on both sides,
log I = log K + nlog(cos(phi))

If u put Y = log I , X = log(cos(phi)) and C = log K,
the equation becomes,
Y = C +nX

-- AI

 

[MrW]

Hi
yes i am, thanks for your help. What you have said looks right ( as far as i know but i will need to look over it to get the undertanding.

I need to bascially put some data ( n and k are constants) into a graph which once rearranged should be a straight line.



thanks again