Question

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

Answer 1

Hey there !

log₅512 = log 512 / log 5

=> log 2⁹ / log ( 10 / 2 )

=> 9 log 2 / log 10 - log 2

=> 9 * 0.3010 / 1 - 0.3010

=> 2.709 / 0.699 which is 3.875

Hence the answer is 3.875.

Hope my answer helped !