Spc Exp And Log Worksheet Page 2

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18. Let b be a number such that log 3 1.5
and log 5 2.2
. Evaluate each of the following.
b
b
 
7
2
3
a) log 45
b)
log 3
b
c)
log
3
b
b
b
Solve for x using the one-to-one property for exponentials and logarithms. Show your work!
1
x 
x
2
5
x
7
15
19.
3
20.
e
e
21.
log
7
log 14
4
4
9
1
1
x 
x 
22.
log
2log 6 log 4
23.
log
log8
log81
7
7
7
3
2
x
x
 
 
1
1
  
 
 
24. Use the graph of
f x
( )
to describe the transformations needed to graph
g x
( )
2
.
 
 
2
2
What is the domain, range, and y-intercept of the graph?
x 
 .
25. Sketch the graph of the function
log
5
4
What is the domain, range, and x-intercept of the graph ?

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