Question

Given that log 2=0.3010 then how many zeros (continuous) r there immediately after decimal point in the decimal fraction equivalent to the fraction (1/2)^100 ?​

Answer 1

Step-by-step explanation:

if log(2)=0.3010 ,log(1/200)=? x

we can write log(1/200) as

=> log(1) -log(200)

=> log(1) - log(2 *100)

=> log(1) - {log(2) +log(100)}

=>log(1) - log(2) -log(10)^2

=>log(1) -log(2) -2*log(10)

=>0 -0.3010 -2*1

=> -2.3010(Ans)