Question

☻

求解

4.
設 a=10log vī0,b為a的小數部份,則b=_
,並計算log(2a+4b+1)=

Answer 1

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qn

a = √10 = 3.⋯
b = a - 3 = √10 - 3

2a + 4b + 4/b
= 2√10 + 4(√10 - 3) + 4/(√10 - 3)
= 6√10 - 12 + 4(√10 + 3)
= 10√10
= 10^(3/2)

log(2a+4b+4/b) = 3/2

qn

對啊