0.001^x = 1000, x = -1

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

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^x = 1000
=> (10^-3)^x = 10^3
=> 10^(-3x) = 10^3
=> -3x = 3
=> x = -1

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

0.001^x=1000
10^(-3x)=10^3
-3x=3
x=-1

0.001x = 1,000
1x=1,000,000