How to simplify?

Question

log(1/2)2 + log(1/2)2^(1/2)

Answer 1

2 = (1/2)^-1, so
log(1/2)2 = -1

log(1/2)2 + log(1/2)2^(1/2)
log(1/2)2 + (1/2)*log(1/2)2
(3/2)*log(1/2)2
(3/2)(-1)
-3/2

Answer 2

How did you get the 3/2?

Answer 3

well, there's

1* log + 1/2 * log
Looks like 3/2 * log
to me...

Do you have trouble with

x + 1/2 x = 3/2 x?

Answer 4

Thanks!