If 10^(b-1)< 0.000125
If 10^(b-1)< 0.000125 <10^b, what is the value of an integer b?
Answer/Solution
-3
Steps/Work
-> Multiply 10^6- > (10^6){10^(b-1)}<125<(10^6)(10^b) -> 125 is bigger than 100
-> (10^6)(10^(b-1))=100 -> 10^(6+b-1)=10^2, b+5=2 -> b=-3
Thus, the answer is B
-> (10^6)(10^(b-1))=100 -> 10^(6+b-1)=10^2, b+5=2 -> b=-3
Thus, the answer is B