if 3^n is equal to 10,000, how do you work out n?
回答 (6)
2009-05-05 2:26 pm
✔ 最佳答案
log (3^n) = log 10000 n log 3 = 4
n = 4/log 3 = 8.3836
2009-05-05 9:33 pm
3^n = 10000
3^n = 10^4
log 3^n = log 10^4
n log 3 = 4 log 10
n log 3 = 4(1)
n log 3 = 4
*divide both sides by log 3*
. . . . . 4
n = ———
. . . .log 3
n = 8.384 (4 significant figures)
Done
3^n = 10^4
log 3^n = log 10^4
n log 3 = 4 log 10
n log 3 = 4(1)
n log 3 = 4
*divide both sides by log 3*
. . . . . 4
n = ———
. . . .log 3
n = 8.384 (4 significant figures)
Done
2009-05-05 9:28 pm
Use logarithms.
n ln3 = ln10^4 = 4 ln10, so
n = 4 ln10 / ln 3 = 9.21034 / 1.09861 = 8.38361
n ln3 = ln10^4 = 4 ln10, so
n = 4 ln10 / ln 3 = 9.21034 / 1.09861 = 8.38361
2009-05-05 10:00 pm
3^n = 10000
n = log_3(10000)
n = log(10000)/log(3)
n = 4/log(3) (â 8.38)
n = log_3(10000)
n = log(10000)/log(3)
n = 4/log(3) (â 8.38)
2009-05-05 9:42 pm
3^n=10000
ln3^(n)=ln(10000)
nln(3)=ln(10000)
.......ln(10000)
n=------------------
..........ln(3)
n=8.383613 answer//
ln3^(n)=ln(10000)
nln(3)=ln(10000)
.......ln(10000)
n=------------------
..........ln(3)
n=8.383613 answer//
2009-05-05 9:34 pm
3^n=10000
Taking logarithm of both sides, we get
log(3^n)=log(10000)
or,n*log 3=log 10000=4[As log(a^b)=b*log a & log 10000=4]
or,n=4/log 3=8.3836 [Answer]
Taking logarithm of both sides, we get
log(3^n)=log(10000)
or,n*log 3=log 10000=4[As log(a^b)=b*log a & log 10000=4]
or,n=4/log 3=8.3836 [Answer]
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