Section 8.6
Properties of Logarithms; Solving Exponential Equations
841
Version: Fall 2007
8.6
Exercises
In
Exercises 1
-
10
, use a calculator to
evaluate the function at the given value
p
.
Round your answer to the nearest
hundredth.
1.
f
(
x
) = log
4
(
x
)
;
p
= 57
.
60
.
2.
f
(
x
) = log
4
(
x
)
;
p
= 11
.
22
.
3.
f
(
x
) = log
7
(
x
)
;
p
= 2
.
98
.
4.
f
(
x
) = log
3
(
x
)
;
p
= 2
.
27
.
5.
f
(
x
) = log
6
(
x
)
;
p
= 2
.
56
.
6.
f
(
x
) = log
8
(
x
)
;
p
= 289
.
27
.
7.
f
(
x
) = log
8
(
x
)
;
p
= 302
.
67
.
8.
f
(
x
) = log
5
(
x
)
;
p
= 15
.
70
.
9.
f
(
x
) = log
8
(
x
)
;
p
= 46
.
13
.
10.
f
(
x
) = log
4
(
x
)
;
p
= 15
.
59
.
In
Exercises 11
-
18
, perform each of the
following tasks.
a) Approximate the solution of the given
equation using your graphing calcu-
lator.
Load each side of the equa-
tion into the
Y=
menu of your calcu-
lator. Adjust the
WINDOW
parameters
so that the point of intersection of
the graphs is visible in the viewing
window.
Use the
intersect
utility
in the
CALC
menu of your calculator
to determine the x-coordinate of the
point of intersection. Then make an
accurate copy of the image in your
viewing window on your homework
Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/
1
paper.
b) Solve the given equation algebraically,
and round your answer to the nearest
hundredth.
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- Natural logarithm, Logarithm
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