Devin's Makeup #6

Log properties
-logb MN=logb M+ logb N
-logb M/N= logb M- lob N
-logb M^k= K logb M
-logb b^k=k
=b^logbK=K

Expand logb MN^2
logb M+logbN

Condene log 45-2log3
log(45/9)lo5

Write y in terms of x if lny=1/3
lny=1/3 lnx + ln4
lny=lnx1/3y=4x1/3

Changing the bases
done when you can not solve a log
-rewrite it as an exponential
-take the log of both sides
-move variable to the front
-solve

-use the same steps when solving for x as an exponent when you can not write them as the same base