Need help with logarithms

[neo coolboy]

I need to know how to efficiently break apart logarithms. I have a quiz tomorrow, please help Thanks!

Examples:

(2√x)^3
log ---------
5

sqrt (x^5 y^7)
log subscript 4 -----------------
zw^4


Don't know how to express subscript etc...​

 

[Determinate]

Generally, (Log a / Log) can be expressed as (Log a - Log b).
So in your case Log ((2√x)^3 / 5) could be rewritten as Log (2√x)^3 - Log 5.

Is that what you are asking? Or do you need to solve for x?

 

[neo coolboy]

Yeah Thats what I needed help with! Thank you I found some tuts on youtube too that are helping me out. Quiz is tomorrow and ima fail if i don't study.