log方程問題

2011-01-15 3:04 am
a + log a = 10
b + 10^b = 10
求a+b

回答 (3)

2011-01-15 6:23 am
We can find answer range from equations,

a values at 9<10
Reason:
log a increases slowly, the main factor of the whole value is a.

b values at 0<1
Reason:
b increases slowly relatively to 10^b, the main factor of the whole value is 10^b.

From the above approximation,
9 < a + b < 11

2011-01-14 22:23:41 補充:
a values between 10 and 9,
b values between 0 and 1
2011-01-15 4:55 am
a + b = 10

a + b = 10


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