Logarithmic Functions

2008-05-03 9:29 pm
1.) According to a research of oceanograpy , for each metre that a dive gose down , the intensity will decrease by 2.5% .How many metres should a diver go down such that

(a) the light intensity is one fourth of that at the water surface ?

(b) the light intensity is 1% of that at the water surface ?

(Give the answers correct to the nearest integer.)

回答 (1)

2008-05-03 9:53 pm
✔ 最佳答案
1 - 2.5% = 97.5% = 0.975
(a)
log0.975(1/4)
= log0.25 / log0.975 = 54.7557
Ans: 55m
(b)
log0.975(0.01)
= log0.01 / log0.975 = 181.8945
Ans: 182m



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