Question

Given log10 2=.3010 and log10 3=.4771, Find each logarithm without using a calculator.

log10 square root 30

Answer 1

\[\log_{10} 2=.3010 and \log_{10} 3=.4771\]

Answer 2

\[\log_{10} \sqrt{30}\]

Answer 3

\(30=3\times 10\) so
\[\log(30)=\log(3\times 10)=\log(3)+\log(10)=\log(3)+1\]

Answer 4

Well it's \[\sqrt{30}\]

so then?

Answer 5

\[\log(\sqrt{30}=\log(30^{\frac{1}{2}})=\frac{1}{2}\log(30)\]

Answer 6

OH!!!!!! Thank you!!!!

Answer 7

yw