x=e^(3y)

I got to ln(x)=3yln(e), and when I use an online calculator to help me, they just switch ln to log for no reason :'(

Question

x=e^(3y)

I got to ln(x)=3yln(e), and when I use an online calculator to help me, they just switch ln to log for no reason :'(

amistre64 · Answer

wolfram notates ln as "log" unless stated otherwise

lukecrayonz · Answer

Ooooh =[

amistre64 · Answer

what is it your trying to do with this?

lukecrayonz · Answer

Well i'm given y=e^3x, and im finding the inverse.

lukecrayonz · Answer

Solving for y by inputting x for y, y for x. x=e^3y, then solving. ln(x)=3yln(e)

lukecrayonz · Answer

Not sure what to do from there!

amistre64 · Answer

ln and e are inverses of each other; so they cancel each other out, or rather they equate to "1" like  5/5:

ln(e) = 1

e^(ln(1))=1

amistre64 · Answer

once you know that, divide off that 3 and your set

lukecrayonz · Answer

So wait, just ln(x)/3=y?

amistre64 · Answer

yep

lukecrayonz · Answer

Thanks :D

amistre64 · Answer

youre welcome

lukecrayonz · Answer

I have another one D: I always just get stuck at the beginning.

lukecrayonz · Answer

x=log2y, is it 10^x/2=y?