Worksheet 12.2 - William Fremd High School
Worksheet 12.2 - William Fremd High School
Worksheet 12.2 - William Fremd High School
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M314 – Algebra 2<br />
Unit 12: Logs & Exponential Functions<br />
Wk 2 Properties of Logs<br />
Common Logs & Change of Base<br />
Name _______________________<br />
Teacher _____________________<br />
Part I: Find the values for the following logarithms. Please round to three decimal places.<br />
1) log 2.46 2) log 7.65 3) log 3.72 1) _________<br />
2) _________<br />
3) _________<br />
Part II: Find the following antilogarithms. Please round to three decimal places.<br />
4) antilog 0.8657 5) antilog 0.1399 4) _________<br />
5) _________<br />
6) antilog 0.9191 7) antilog 3.3674 6) _________<br />
7) _________<br />
Part III: Find the following logarithms, using the change of base property. Show what you<br />
are typing into your calculator. Please round to three decimal places.<br />
8) log4<br />
20 9) log8<br />
0.99 10) log5<br />
0.78<br />
8) _________<br />
9) _________<br />
10) ________<br />
Part IV: Find the values of the following expressions. Please round to three decimal places.<br />
11) log 10 12)<br />
6<br />
log 10 13) log2<br />
9<br />
11) ________<br />
12) ________<br />
13) ________<br />
14) antilog 4.9222 15) log4<br />
8 16) log3<br />
54<br />
14) ________<br />
15) ________<br />
16) ________<br />
M Giblin 5/20/2010<br />
<strong>William</strong> <strong>Fremd</strong> <strong>High</strong> <strong>School</strong>
17) antilog 1.2553 18) log5<br />
62 19) log 3870 20) log2<br />
7<br />
17) ________ 18) ________ 19) _________ 20) ________<br />
Part V: Use the definition of a log and the change of base property to solve each equation<br />
for x. You must show work. Please round to three decimal places.<br />
21) x log5<br />
25<br />
22) log3<br />
x 4<br />
23) x log 7<br />
24) log8<br />
x<br />
2<br />
1<br />
25) x log2<br />
8<br />
26) x log3<br />
3<br />
9<br />
1<br />
27) x log 43<br />
28) x log 29) x log13<br />
4 2<br />
M Giblin 5/20/2010<br />
<strong>William</strong> <strong>Fremd</strong> <strong>High</strong> <strong>School</strong>