Question

Oblicz:

c) 8^log₂ 5-⅓

d) 4 ^-1+log₂ 3

e) 5^½log₅ 16

Answer 1

8^log₂ 5-⅓ = 8^log₂ 5:8^1/3=2^3log₂ 5:2=5^3/2=125/2=62,5

4 ^-1+log₂ 3=4^-1*4^log₂ 3=1/4*2^2log₂ 3=1/4*2^log₂ (3)^2=1/4*9=9/4

5^½log₅ 16=5^log₅ 16^1/2=16^1/2=4

Answer 2