What is the value of #log_2(15)# ?

1 Answer
George C.
Nov 26, 2017

#log_2(15) ~~ 3.907#

Explanation:

Use:

#log(2) ~~ 0.30103#

#log(3) ~~ 0.47712#

Then:

#log_2(15) = log(15)/log(2)#

#color(white)(log_2(15)) = log((3 * 10)/2)/log(2)#

#color(white)(log_2(15)) = (log(3)+log(10)-log(2))/log(2)#

#color(white)(log_2(15)) ~~ (0.47712+1-0.30103)/0.30103 = 1.17609/0.30103 ~~ 3.907#

Related questions
Impact of this question
423 views around the world
You can reuse this answer
Creative Commons License