College Algebra & Trigonometry, 2018a

164 CHAPTER 3. EXPONENTS AND LOGARITHMS
Exercises 3.2
Rewrite each of the following using exponential notation.
1) t =log 5 9 2) h =log 7 10 3) log 5 25 = 2
4) log 6 6=1 5) log 0.1 =−1 6) log 0.01 = −2
7) log 7 ≈ 0.845 8) log 3 ≈ 0.4771 9) log 2 35 ≈ 5.13
10) log 12 50 ≈ 1.5743 11) ln 0.25 ≈−1.3863 12) ln 0.989 ≈−0.0111
Rewrite each of the following using logarithmic notation.
13) 10 2 = 100 14) 10 4 =10, 000 15) 4 −5 = 1
1024
16) 5 −3 = 1
125
17) 16 3 4 =8 18) 8
1
3 =2
19) 10 1.3 ≈ 20 20) 10 0.301 =2 21) e 3 ≈ 20.0855
22) e 2 ≈ 7.3891 23) e −4 ≈ 0.0183 24) e −2 ≈ 0.1353