This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 23 Part I: Logarithmic FunctionsGraphing a log functionfunction y = log2x:x1481/2y231=======================================Can you do this in your head? 100 x 1000 = ??23 Part Ip. 1Properties of logsRecall: if m = 102then 2 = log m ***100000 = 100 x 1000mn=m x n105= 102x 10310log mn=10log mx 10log n(by ***)10log mn=10log m + log n(laws of exponents)log mn=log m + log n (if 10x= 10ythen x = y)the log of a product= the sumof the logs=========================================100 = 100000 ÷1000m/n=m ÷n102= 105÷10310log m/n=10log m÷10log n(by ***)10log m/n=10log m  log n(laws of exponents)log m/n=log m  log n (if 10x= 10ythen x = y)the log of a quotient= the differenceof the logs==========================================log mr= log mm … m (for r factors)= log m + log m + . . . + log m (for r terms)= r log mlog mr= r log mthe log of a power= the exponent timesthe log of the base==========================================23 Part Ip. 2These relationships hold for any base:1. logamn=...
View
Full Document
 Spring '11
 Staff
 Logarithmic Functions, Logarithm, 100 m, 1000 m

Click to edit the document details