Use the properties of logarithms to simplify the logarithmic expression. (Simplify your answer completely.) log2 (sq.rt 20)?

👨🏻‍🏫 學術台數學

[匿名]

2016-04-26 6:34 am

回答 (1)

戇戇居士

2016-04-26 7:04 am

✔ 最佳答案

log₂(√20)
= log₂[√(2^2 × 5)]
= log₂(2√5)
= log₂(2) + log₂(√5)
= 1 + log₂(5)^(1/2)
= 1 + [(1/2)log₂(5)]

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