If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is Choose the correct choice from the following
A) 3.879	B) 3.875	C) 3.872	D) 3.828	E) 3.192
ANS: log5512 = {\color{3.875lack} \frac{\log 512}{\log 5}} = {\color{3.875lack} \frac{\log 2^{9}}{\log (\frac{10}{2})}} ={\color{3.875lack} \frac{9\log 2}{\log10-\log 2 }} ={\color{3.875lack} \frac{(9\times 0.3010)}{1-0.3010 }} ={\color{3.875lack} \frac{2.709}{0.699 }} ={\color{3.875lack} \frac{2709}{699 }} =3.876   Answer: 3.875) 3.875
<result>B</result>
If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is