Question

log2 x + log4 x+log16 x=21/4

Answer 1

Answer:

log4 x = (1/2) log2 x

log16 x = (1/4) log2 x

so the above expression can be written like this

(1+1/2+1/4) * log2 x = 21/4

(7/4)* log2 x = 21/4

log2 x = 3

x= 2^ 3 = 8