0.001^x = 1000
x = -1
Why?
0.001^x = 1000, x = -1
2007-03-18 2:19 am
回答 (6)
2007-03-18 10:50 am
0.001^x=1000
log0.001^x=log1000
xlog0.001=log1000
-3x=3
x=-1
n^a/n^b=n^(a-b)
10^(-3)=10^(1-4)=10^1/10^4=10/10000=0.001
10^(-3)=10^(2-5)=10^2/10^5=100/100000=0.001
10^(-3)=10^(3-6)=10^3/10^6=1000/1000000=0.001
log0.001^x=log1000
xlog0.001=log1000
-3x=3
x=-1
n^a/n^b=n^(a-b)
10^(-3)=10^(1-4)=10^1/10^4=10/10000=0.001
10^(-3)=10^(2-5)=10^2/10^5=100/100000=0.001
10^(-3)=10^(3-6)=10^3/10^6=1000/1000000=0.001
參考: 自己
2007-03-18 3:40 am
0.001^-1
=(0.001^-1)/1
=1/(0.001^1).................................根據law of indices...之後就會變成1除0.001
=1000
=(0.001^-1)/1
=1/(0.001^1).................................根據law of indices...之後就會變成1除0.001
=1000
2007-03-18 3:02 am
0.001^x = 1000
=> (10^-3)^x = 10^3
=> 10^(-3x) = 10^3
=> -3x = 3
=> x = -1
=> (10^-3)^x = 10^3
=> 10^(-3x) = 10^3
=> -3x = 3
=> x = -1
2007-03-18 2:51 am
0.001 = 10^ -3 = 1000^ -1
(1000^ -1)^x = 1000
1000^ -x = 1000^1
x = 1
or
(10^ -3)^x = 1000
10^ -3x = 10^3
-3x = 3
x = 1
(1000^ -1)^x = 1000
1000^ -x = 1000^1
x = 1
or
(10^ -3)^x = 1000
10^ -3x = 10^3
-3x = 3
x = 1
參考: me
2007-03-18 2:34 am
0.001^x=1000
10^(-3x)=10^3
-3x=3
x=-1
10^(-3x)=10^3
-3x=3
x=-1
2007-03-18 2:23 am
0.001x = 1,000
1x=1,000,000
1x=1,000,000
收錄日期: 2021-04-12 16:14:41
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https://hk.answers.yahoo.com/question/index?qid=20070317000051KK03663