Exponential And Logarithmic Functions Page 3
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1
2
3
46.
Fill in the blanks using the log rules.
=
⋅
5
(a) log 3 + log 5 = log ___
(b) ln 20 – ln 10 = ln ___
(c)
log
4
___
log
4
3
3
log
1.25
4.5
(d) 8
= _____
(e)
= _____
log
10
8
7.
Evaluate. Use the change-of-base rule and your calculator to approximate these to 4 decimal places.
(a)
log
16
(b) log
(c) log
28
1000
2
7
5
≈
7.
Given that
log
2
. 0
301
, find each of the following. Use the log rules creatively.
10
(a)
log
4
(b)
log
2000
(c)
log
5
10
10
10
8.
How would you enter y = log
x on a graphing calculator?
2
What about y = log
x?
5
Simple Interest
9.
Invest $1,000 at 4% for 3 years. Find the accumulated amount.
Compound Interest
10.
A descendent of Frank Myers (on The Andy Griffith Show) was issued a $100 confederate bond from
the town of Mayberry in 1861 at 8.5% compounded annually for 100 years. Find the accumulated
amount.
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