



Remember
what logs mean?









We can
write this another way ... 








Notice
something? They both mean exactly the same thing! 





X = log_{10}Y
is the exact same statement as 10^{X} = Y






Now
graphing something like: 


X
= log_{10}Y






Might
seem pretty tough, but graphing 


10^{X}
= Y






seems a
lot easier. 





So when
you need to graph a log equation, 


read the
meaning of the equation 


and then
write it as an exponential equation. 


And graph
that ... 





Of
course, this works both ways. 


If we had
an exponent equation 


we could
read the meaning of that, 


and write
it as a log equation. 





So if we
have ... 








if we
want to we can write as: 








Why would
we want to? 


Who
knows! 





Example: 


Change Y
= ln X 


to an
exponential equation ... 





Remember
that ln means "loge" and "e" is just a number
(about 2.7) 





So: 








Becomes
... 








copyright 2005 Bruce Kirkpatrick 
