Section+3.4

 1. Logb(R•S) = logbR+ logbS  2. Logb(R/S) = logbR – logbS  3. LogbRc = clogbR   ·  **Expanding **: adding more logs to the problem -done when moving to the right  ·  **Condensing **: subtracting logs from the problem -done when moving to the left __Expand __: log(8xy4) ln√x2+5/x log8 + logx + 4logy ln(x2+5)1/2 – lnx 1/2lnx2 +5 – lnx __Condense __<span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">: 5lnx – 2ln(xy) ln • x5/(xy)2 **<span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Let a, b, x be members of positive reals, b ≠ 1 logbx = logax/logbb <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Simplify: log47 log104x = log7 __xlog4__ = __log7__ log4 log4 x = 1.404 <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">log710/3.3 __log10/3.3__ = __log7__ log7 log7 x = .5697 <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">**Homework: pg. 317 #3-36 mult. of 3**
 * <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">3.5 Equation Solving and Modeling **
 * <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Let R, S, b be members of positive real numbers, where b ≠ 1 and c € Reals **
 * <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Example: **
 * <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Change of Base Formula
 * <span style="font-size: 12pt; line-height: 115%; font-family: 'Times New Roman','serif';">Example: **