Work Sheet
July 25, Math 140A, Summer 2014
Name:
Solve. Express irrational solutions in exact form, and then as a decimal rounded to 2
decimal places.
1. log(x + 7) = 1
2. log3 (x + 2) = log3 20
3. ln(x) + ln(x − 3) = ln(x − 2)
4. log2 (x − 1) − log2 (x + 6) = log2 (x − 2) − log2 (x + 3)
5. 2x+1 = 51−2x
6. π x = e1−x
Math 145 Worksheet July 25
2
7. 4x − 5 · 2x + 6 = 0
8. The atmospheric pressure p on an object decreases with increasing height. This
pressure, measured in milimeters of mercury, is related to the height h in kilometers above sea level by the function: p(h) = 760e−0.145h
(a) Find the height of an aircraft if the atmospheric pressure is 320 milimeters
of mercury.
(b) Find the height of an aircraft if the atmospheric pressure is 667 milimeters
of mercury.