Thread: finding simpler expressions for the quantities

i'm just not seeing it for these:
ln(e^(e^(x))
and
ln(e^(2lnx)

i don't know where to begin!
and is this one correct
ln(e^secx)= ln(e)^secx= secxlne=secx

Originally Posted by genlovesmusic09

i'm just not seeing it for these:
ln(e^(e^(x)) = e^x
and
ln(e^(2lnx) = ln x^2

i don't know where to begin!
and is this one correct
ln(e^secx)= secx

ln and e are inverses so they reduce y=x. Does this make sense? Ienteredthe right answers in for you

Hello genlovesmusic09

Originally Posted by genlovesmusic09

i'm just not seeing it for these:
ln(e^(e^(x))
and
ln(e^(2lnx)

i don't know where to begin!
and is this one correct
ln(e^secx)= ln(e)^secx= secxlne=secx

Two of the basic properties of logarithms (to any base, ) are:

• 

• , and in particular,

So, if we apply these to your two questions:



and , which you can write as if you like (again using the first of these laws).

Grandad