If log4 (x) = 12 , then log2 (x/4) is equal to what?
Choose the most appropriate option
A) 55  B) 21  C) 31  D) 11  E) 22
Explanation:   log(4) x = 12. We need to find log(2) (x/4)   log(2) (x/4) = log (2) x - log(2) 4   =&gt; log(2) x - log(2) 2^2   use log a^b = a*log b   =&gt; log(2) x - 2 ...(1)   log(4) x = 12   =&gt; x = 4^12   =&gt; x = 2^2^12   =&gt; x = 2^24   take log to base 2 of both the sides   =&gt; log(2) x = 24   Substituting in (1)   log(2) x - 2   =&gt; 24 - 2= 
<gadget id="calculator">24 - 2</gadget>
<output>22</output>
&gt; 22   The required value of log(2)(x/4)= 22   Answer 22
<result>E</result>
If log4 (x) = 12 , then log2 (x/4) is equal to what?