Lesson 11a - 4.1 and 4.2 - Properties of logs

Lesson 11a - 4.1 and 4.2 - Properties of logs

Pg. 149: 4,8,13,17,21,24,25,31,35

Section 4.1 # 4 Rewrite as exponents instead of logs

(since log x = y if 10^y = x )

Section 4.1 # 8 Rewrite as logs instead of exponents

(since ln x = y if e^y = x )

Section 4.1 # 13 Solve using logs

(since ln x = y if e^y = x )

Then 38.3764

Section 4.1 # 17 Solve using logs

Take logs of both sides

for quiz its solve 0.0012 = 0.001^(m/2),
m = [2 log(0.0012)] / -3 = 1.9472

Section 4.1 # 21 Evaluate without calculator:

(a) ln 1 = 0 (ln x = 0, when x = 1)

(b) ln e⁰ = ln 1 = 0 (ln e^x = x)

(c) ln e⁵ = 5 (ln e^x= x)

(d) (ln e^x = x)

(e) (e^lnx = x )

(f) (ln e^x = x)

Section 4.1 # 24 Express in terms of x without logs:

(a) (ln e^x = x)

(b) (e^lnx = x )

(c) (ln e^x = x)

(d) (ln e^x = x)

Section 4.1 # 25 True of false?

True:

False: (True: log A - log B)

False:

True:

True:

False:

Section 4.1 # 35 Solve for exact value of x

Section 4.1 # 31 For

(a) Initial value of Q is 10 and continous rate of decay is 15% (k = -0.15)

(b) When Q = 2, t is approx equal to 10.3

(c) Using logs

Graph of