7-3 Logarithms and Logarithmic Functions
D = {x | x > 0}; R = {all real numbers)
Write each equation in exponential form.
10. f (x) = 4 log
(x − 6)
4
2. log
625 = 4
5
ANSWER:
ANSWER:
4
5
= 625
Write each equation in logarithmic form.
4.
ANSWER:
D = {x | x >6}; R = {all real numbers}
12. SCIENCE Use the information at the beginning of
Evaluate each expression.
the lesson. The Palermo scale value of any object
6.
can be found using the equation PS = log
R, where
10
R is the relative risk posed by the object. Write an
ANSWER:
equation in exponential form for the inverse of the
−7
function.
ANSWER:
Graph each function. State the domain and
R
range.
PS = 10
8. f (x) = log
x
3
Write each equation in exponential form.
14. log
343 = 3
ANSWER:
7
ANSWER:
3
7
= 343
16.
ANSWER:
D = {x | x > 0}; R = {all real numbers)
18. log
1 = 0
9
10. f (x) = 4 log
(x − 6)
4
ANSWER:
ANSWER:
0
9
= 1
Write each equation in logarithmic form.
20.
ANSWER:
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6
D = {x | x >6}; R = {all real numbers}
22. 4
= 4096