Properties of Logarithms

Joined
Jun 27, 2021
Messages
5,386
Reaction score
422
Section 3.3
14 - 18
20211018_194035.jpg


Question 14

log_3 (5/7) = log_3 (5) - log_3 (7)

Question 16

log_3 (175)

I know that 25 • 7 = 175.

log_3 (25) + log_3 (7)

Let 25 = 5^2.

log_3 (5^2) + log_3 (7)

2•log_3(5) + log_3 (7)

Question 18

log_3 (45/49)

Let 45 = 9•5

Let 49 = 7^2

log_3 (9•5) + log_3 (7^2)

log_3 (9) + log_3 (5) + 2•log_3 (7)

Let 9 = 3^2

log_3 (3^2) + log_3 (5) + 2•log_3 (7)

2•log_3 (3) + log_3 (5) + 2•log_3 (7)

I don't think 2•log_3 (3) is part of the answer for question 18.

You say?
 

Members online

No members online now.

Trending content

Forum statistics

Threads
2,521
Messages
9,845
Members
715
Latest member
SybilArsco
Back
Top