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Section 3.3
14 - 18
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?
14 - 18
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?