Question

1/4 log base 2 (4)+ 1/8 log base 2 (8)+ 3/8 log base 2 (8/3)+ 1/4 log base 2 (4)

Answer 1

Assuming base 2 throughout, note that
log4 = 2
log8 = 3
So, we have

1/4 log4 + 1/8 log8 + 3/8 log(8/3) + 1/4 log 4

1/4 (2) + 1/8 (3) + 3/8 (log8-log3) + 1/4 (2)

1/4 (2) + 1/8 (3) + 3/8 (3-log3) + 1/4 (2)

1/4 (2) + 1/8 (3) + 3/8 (3)- 3/8 log3 + 1/4 (2)

1/2 + 3/8 + 9/8 + 1/2 - 3/8 log3

5/2 - 3/8 log3

Answer 2

plz can u give answer in decimal

Answer 3

heck no -- use your own calculator, cantcha?

Answer 4

but, since you don't have a base-2 log button, you'll have to use the change of base formula:

log₂3 = log3/log2

and you can use whatever base you want for that.