7.2 Review Worksheet
7.2.1 Exponential and Logarithmic Equations and Inequalities Solve and check. 1. 2. 3. = − 2 x 1 − 8 x x 1 125 x x 2 2
= −
=
1 5
1 4
1 64
x
− 1 2
= + 3 12.2 x 2 1
=
6.
4.
5. (1.5) x − 1 = 14.5
1.6
7. A veterinarian has instructed Harrison to give his 75 lb dog one 325 mg aspirin tablet for arthritis. The amount of aspirin A remaining in the dog’s body after t minutes can be expressed by
t 15 Write and solve a logarithmic inequality to find the time it takes for the amount of
1 2
= A 325
.
aspirin to drop below 50 mg.
Solve and check. 8. log 3 (7 x ) = log 3 (2 x + 0.5)
=
x 2
9.
log 1
4
+
2
10. log5 x − log(l5.5) = 2
11. log 5 x
4 = 2.5
=
x
x
12.
13.
− log log x
x
− 2 log3 log = x
100
12
Use a table and graph to solve. 14. 2 ∙ 3 x − 1 = 162
15. 4 x < 2 x + 1
16. log(2 x − 17) + log x ≥ 2
148
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