Download MAT187 Test4

MAT 187 Fall 2005
Test #4
Name:_________________________
Directions: Do all of your work on the “work and answer” document provided. DO NOT WRITE ON
THIS PAPER. No calculators are allowed on this test. Each problem will be graded out of 5 points. If
there are multiple parts to a problem, the number in parentheses , (#), in front of each part, indicates how
many points that part is worth. Show work on all problems that are not matching or true/false!!!!!!!!!!
bg
1. Find the inverse function for f x  3x  5
bg
you just drew to graph gbg
x 2
2. Sketch the graph of f x  2 x (label 4 points!). Explain how you could use the graph
x 1
1
1
to a logarithmic equation.
125
(1) B) Convert log 2 32  5 to an exponential equation.
3. (1) A) Covert 5 3 
(3) C) Find a value for log 3 4 9
4. Find
log 2 64
log 2 16
5. Express in terms of sums and differences of logarithms.
log 3
x2 y
z
6. Express as a single logarithm and, if possible, simplify.
j b g b g
e
ln x 2  5x  6  ln x  1  ln x  6
2
7. Solve 3 x  9 2 x 
1
27
b g b g
9. Solve logb
x  5g
 logb
x  3g
1
log b
x  1g
10. Solve log c
h 1
8. Solve log 2 x  1  log 2 x  1  3
2
3