Log2 x+log4x=6 решить уравнение

Question

Log2 x+log4x=6 решить уравнение

Answer 1

log2 x+log4x=6
x>0
log2x + 1/2 log2 x=6
3/2 log2x=6
log 2 x=4
x=2^4=16

Answer 2

log2 x+log4 x=6 
log2 x+log2 x /log2 4=6 
log2 x+log2 x /2=6 
3/2 log2 x = 6
log2 x = 6 *2/3 = 4
log2 x= 4
2^4 = x
x = 16