# Log help (Homework)

I've been looking through my text book for a question even remotly similiar and no luck, if you could get me started witht this question I'd love to do it and then I'll write what I got and write it here.

If y=x^2(a+z) determine an expression equal to log x. (Hint: you will need to take the log both sides at some point)

mezarashi
Homework Helper

$$\log a^b = b\log a$$

uhh not really, you could elaborate on that idea though?

Would it be like...

logx = xlog

then xlog^2(a+z)

Sorry I'm really confused/

mezarashi
Homework Helper
If you take the log of both sides, you end up with:

$$\log y = \log x^2^(^a^+^z^)$$

See the similarity between the b in my earlier equation and 2(a+z)? >_>

okay... I kind of get it...

I did this...

log(y/x) = 2a + 2z

so thats logx = (2(a+z))/y

I'm still stuck

mezarashi
Homework Helper
The question asks, determine an expression for log x? I'm confused about what you are trying to accomplish. Following from:

$$\log y = \log x^2^(^a^+^z^)$$
$$\log x = \frac{\log y}{2(a+z)}$$

Gokul43201
Staff Emeritus