Exponential And Logarithmic Functions
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1
2
3
41.
(a) Complete the tables below for the given exponential and logarithmic functions.
x
y = 2
y = log
x
x
y
2
x
y
-3
-3
-2
-2
-1
-1
0
0
1
1
2
2
3
3
5
(b) Graph these two functions along
10
with y = x on the coordinate
grid. Include any asymptote(s)
and intercept(s).
-10
10
(c) What do you notice about the
tables in part (a)? What do you
notice about the graphs?
-10
Conversions from one form to another
↔
y
Use
log
x = y
a
= x
a
2.
Complete the chart, converting the given equation from one form to the other.
Logarithmic form
Exponential form
(a) log
81 = 4
3
(b) log 0.001 = -3
(c)
5
7
= 16,807
≈
(d)
2.9957
e
20
(e) log
1 = 0
5
(f)
1
12
= 12
(g) ln 39 ≈ 3.6636
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