Using Properties of Logarithms

Section 3.3
20, 22, 26, 28



Question 20

Let 1/125 be 1/(5^3).

Let 1/(5^3) = 5^(-3).

log_5 (5)^(-3)

-3•log_5 (5)

-3(1) = -3

Question 22

log_2 (4throot{8})

Let 4throot{8} be 8^(1/4)

log_2 (8)^(1/4)

(1/4) log_2 (8)

Let 8 = 2^3

(1/4) log_2 (2)^3

3•(1/4) log_2 (2)

(3/4) log_2 (2)

(3/4)(1) = 3/4

Question 26

ln (1/sqrt{e})

Let sqrt{e} be e^(1/2)

ln (1/e^(1/2))

ln e^(-1/2)

(-1/2) ln e

Let ln e = 1

(-1/2)(1) = -1/2

Question 28

2•ln e^6 - ln e^5

2(6) ln e - 5 ln e

12 ln e - 5(1)

12(1) - 5

12 - 5 = 7

You say?

 

perfect

 

Wonderful.