University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

296

Pages:

1
Author:

Pompanin8za

Workshop #26 1. (a) Let g(x) = log2 x. Complete the chart: x g(x) 1 32 1 16 1 8 −3 1 4 1 2 1 2 1 4 8 16 32 (b) Use the points you generate to graph g(x) = log2 x (c) On the same set of axis graph f (x) = 2x , how are the two graphs similar? 2. Which of the following is f (x) = log(x), g(x) = log3 (x) and h(x) = log5 (x)? y 2 1 x 1 2 3 4 5 6 7 8 9 10 −1 −2 3. Without a calculator ﬁnd these values exactly (a) log(10) (b) log(0.1) √ (c) log2 ( 2) (d) log√2 (2) √ (e) log3 (3 3) (f) log8 (2) (g) logπ (π 3 ) (h) log √1 (2) 2 4. The “loudness” of a sound is measured in decibels (dB). The decibel level of a sound is given by the formula I 10 · log I0 where I is the intensity of the sound, and I0 is the sound intensity at the threshold of hearing. (a) What is the decibel level of a sound if its intensity is the threshold of sound, that is when I = I0 ? (b) The threshold of pain for a noise has intensity 1013 times the threshold of hearing, what is the decibel level is the threshold of pain? (c) Hobby cannons, like the one ﬁred at Sacramento State football games, can have sound intensity that is (10)21/2 times the threshold of hearing. What is the decibel level of these cannons?