if log50=1.699, then what is the value of log100(50)
3.699
10^2=100
log100=2
log100(50)=log100+log50=2+1.699=3.699
these are my answer choices ... a.0.01699 b. 0.849 c. 169.9 d. 0.0849
@Jack119
is it log(100^(50)) or log(100(50))
the question is not clear what are the bases?
You can assume its base 10, sense 10^{1.699} is very close to 50
the tex isn't formatted properly tho
my guess is the question is asking this: if \[\log_{10}(50)=1.699\] then what is \[\log_{100}(50)\]
we can solve with the change of base formula
the first one is Log (base 50)=1.699 then it asks for the value of log(subscript 100 (50)
\[\log_{100}(50)=\frac{\log(50)}{\log(100)}=\frac{\log(50)}{2}=\frac{1.699}{2}\]
in plain english, it is half of \(1.699\)
oh okay so basically divide the 1.699 by two and thats my answer correct?
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