Math 1050 Homework – Section 6.1_b
Stitz & Zeager, “College Algebra”
1. Evaluate the expression log8  4  .
2. Evaluate the expression log 1  625 .
5
3. Evaluate the expression log 1  216  .
6
4. Evaluate the expression log36  36  .
1
5. Evaluate the expression log  1000000
.
 
6. Evaluate the expression ln e3 .
7. Evaluate the expression log 4  8  .
8. Evaluate the expression log 6 1 .
Name ___________________________________
Math 1050 Homework – Section 6.1_b
Stitz & Zeager, “College Algebra”
9. Evaluate the expression log36
10. Evaluate the expression 7


4
log7  3
Name ___________________________________
36 .
.


11. Find the domain of the function f  x   ln x 2  1 .
12. Find the domain of the function f  x   log7  4 x  8 .


13. Find the domain of the function f  x   log x 2  9 x  18 .
Math 1050 Homework – Section 6.1_b
Stitz & Zeager, “College Algebra”
Name ___________________________________
14. Find the inverse of the function f  x   3x  2  4 and graph the function and its inverse on the same set of axes.
Inverse:
15. Find the inverse of the function f  x   log 4  x  1 and graph the function and its inverse on the same set of axes.
Inverse:
Math 1050 Homework – Section 6.1_b
Stitz & Zeager, “College Algebra”
Name ___________________________________
16. The Richter scale measures the magnitude of an earthquake by comparing the amplitude of the seismic waves of the
given earthquake to those of a “magnitude 0 event”, which was chosen to be a seismograph reading of 0.001 millimeters
recorded on a seismometer 100 kilometers from the earthquake’s epicenter. Specifically, the magnitude of an
 x 
 where x is the seismograph reading in millimeters of the earthquake
 0.001 
earthquake is given by M  x   log 
recorded 100 kilometers from the epicenter.
a) Show that M  0.001  0 .
b) Compute M  80, 000  .
c) Show that an earthquake which registered 6.7 on the Richter scale had a seismograph reading ten times larger
than one which measured 5.7.
d) Find two news stories about recent earthquakes which give their magnitudes on the Richter scale. How many
times larger was the seismograph reading of the earthquake with larger magnitude?