Stats & Discrete Math
Exponentials and Logarithms Assignment
Name ____________________________________
Do the following problems on a separate sheet of paper. Show work when needed.
1. Make an xy-table and graph the exponential function y = 4 x . Use x-values from -2 to 2. Is this
exponential growth or decay?
2. Make an xy-table and graph the exponential function y = ( 0.5 ) . Use x-values from -2 to 2. Is this
exponential growth or decay?
x
3. Use a calculator to find the following values to the nearest thousandth.
1
1
a) e 4
b) 3
c) e 2
e
4. Write the following in exponential form.
a) log 27 1 = 0
b) log 5 625 = 4
c) log 6
1
 2
36
5. Write the following in logarithmic form.
a) 35 = 243
b) 102  0.01
c)  = 
6. Evaluate each logarithm. Show the conversion to exponential form. (Hint: For f, g, and h, you will
have to convert both numbers to powers of the same base.)
a) log 2 16
b) log 2 1
c) log 5 125
d) log 0.1
1
e) log 3
f) log 4 128
g) log 9 243
h) log100 1000
27
7. Find the unknown values. Show the conversion to exponential form.
1
 2
a) log 7 x = 3
b) logb 64 = 3
c) logb
d) logb 1 = 0
49
8. Use a calculator to find the following values. Round to the nearest thousandth.
a) log 127
b) log 1023
c) ln (-3.5)
d) ln 6.7
9. Sketch the graph of y = ln x . (Hint: First convert to exponential form, and then make an xy-table
using y-values from -2 to 2.)