Honors Algebra 2
Unit 6 – Logs & Exp. Equations
Name: _________________________________
6.2 - Homework
Date: _______________________
Use the properties of logarithms to rewrite the expression in terms of log 2 and log 7.
Then use log2  0.301 and log7  0.845 to approximate the expression.
1.
2.
log  72 
3.
log73
5.
log3  9x 
6.
log2 x 3 x  1
log3 3x y 5
8.
log4 2y 2 x
9.
6
log  
x
x2
yz 3
11.
log2 x 4 x  1

12.
14.
2log3 x
log3 y
15.
log14
Expand the following expressions:
4.
log2  3x 
7.
10.
2
3
log
Condense
13. ln3
lnx
lny
2lnz


log2
ln4

3 b
a4 c2
3lnx
5lny
Honors Algebra 2
Unit 6 – Logs & Exp. Equations
6.2 - Homework
Condense
16.
19.
log5 logx logy
3log3 x
log3 7
4log3 y
17.
20.
ln5
log3 a
1
ln x
2
2ln z
2log3 b
3log3 c
18.
21.
3log5 3
logx
2log5 a log5 b
2logy
2log5 c
3logz log5
Convert Log to Exponential:
22.
log3(x  2)  4
1
 4
81
23.
logx
26.
9x  w
29.
x 18
24.
log a  z
27.
bt  k
30.
3log4(x  3)  16  22
Convert Exponential to Log:
25.
Solve:
28.
x 3 

4 3
1
64
x 2
  11 313
5
 1 


 625 
2x