M314 – Algebra 2 - William Fremd High School

M314 – Algebra 2
Unit 11: Logs & Exponential Functions
Wk 2 Properties of Logs
Common Logs & Change of Base
Name _______________________
Teacher _____________________
Part I: Find the values for the following logarithms. Please round to three decimal places.
1) log 2.46 2) log 7.65 3) log 3.72 1) _________
2) _________
3) _________
Part II: Find the following antilogarithms. Please round to three decimal places.
4) antilog 0.8657 5) antilog 0.1399 4) _________
5) _________
6) antilog 0.9191 7) antilog 3.3674 6) _________
7) _________
Part III: Find the following logarithms, using the change of base property. Show what you
are typing into your calculator. Please round to three decimal places.
8) log4
20 9) log8
0.99 10) log5
0.78 8) _________
9) _________
10) ________
Part IV: Find the values of the following expressions. Please round to three decimal places.
6
11) log 10 12) log 10 13) log2
9
11) ________
12) ________
13) ________
14) antilog 4.9222 15) log4
8 16) log3
54
14) ________
15) ________
16) ________
M Giblin 11/17/2007
William Fremd High School

17) antilog 1.2553 18) log5
62 19) log 3870 20) log2
7
17) ________ 18) ________ 19) _________ 20) ________
Part V: Use the definition of a log and the change of base property to solve each equation
for x. You must show work. Please round to three decimal places.
21) x log 25
22)
= 5
3
log x = 4
23) x = l og 7
24) log8
x
2
1
= 25) x = log2
8
26) x = log3
3
9
27) x log 43
28)
=
4
1
x = log 29) x = l og13
2
M Giblin 11/17/2007
William Fremd High School