Review Of Logarithms Worksheet Page 2
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6Use the change-of-base formula to a) write each expression in calculator-ready form, then b) find
the approximate value of each expression to three significant digits.
11.
log 705
11a.
_________________________
11b.
________________
2
log
147
12.
5
12a.
_________________________
12b.
________________
3
1
13.
log
13a.
_________________________
13b.
________________
4
5
Use the Properties of Logarithms to evaluate (find the value of ; compute) the following expressions.
(Try to do these mentally, then check your answers with a calculator.)
9
14.
log
5
14. __________
15.
15. __________
log
7
5
7
log
24
16.
16. __________
17.
17. __________
log
1
3
3
4
18.
18. __________
19.
19. __________
ln e
ln 1
ln 5
4
20.
20. __________
21.
21. __________
e
ln e
Use the Laws of Logarithms and show step-by-step work to a) express the following expressions in
terms of log
M and/or log
N , then b) express the given expression in terms of x and/or y
b
b
where log
and log
.
M
x
N
y
b
b
3
22.
log
M N
22a.
____________________________________
b
(expression involving log
M and/or log
N )
b
b
22b.
____________________________________
(expression involving x and/or y )
M
23.
log
23a.
____________________________________
b
2
N
(expression involving log
M and/or log
N )
b
b
23b.
____________________________________
(expression involving x and/or y )
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