Question

If log a = 2 log 2 + log 3 - 3/4 log 16, the value of 'a' is : = a)2/3 b)5/2 c)3/2 d)None of those​

Answer 1

Logx= log 3 + 2 log 2- (3/4) log 16.

= log3+log4- log 16^3/4

=log3+log4-log2^12/4

=log3+log4-log2³  

=log(3*4/8)

=log(3/2)

Logx=log3/2

x=3/2

So the correct answer is option c