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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?
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?