Given that the logarithm of 7623 is 3.8821, what is the logarithm for each answer listed below? a. 0.8821 b. 7.8821 c. 1.8821?

2017-05-14 9:38 am

回答 (4)

2017-05-14 10:03 am
Here is the solution to what I think problem a) should have been, but wasn't
log7623 = 3.8821
log(a/b) = log(a) - log(b)
log7.623 = log(7623/1000) = log7623 - log1000 = 3.8821 - 3 = 0.8821
summary: 0.8821 = log7.623
2017-05-14 9:44 am
Do you want the logarithm of 0.8821, or the number whose logarithm is 0.8821?

log(7.623) = log(7623/1000)
= log(7623) - log(1000)
= 3.8821 - 3
= 0.8821
:::::
log(7623×10000) = log(7623) + log(10000)
= 3.8821 + 4
= 7.8821
:::::
log(76.23) = log(7623/100)
= log(7623) - log(100)
= 3.8821 - 2
= 1.8821
2017-05-14 9:42 am
7623 = 7.623 * 10^3
so a) 7.623
b)7.623*10^7
c)76.23
2017-05-14 9:40 am
a/
7.623
b/
76230
c/
76.23


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