Question

Plz solve it quickly
I will mark as brainlist

Answer 1

Answer:

1)log₂8√2

 =log₂(2³×2⁰⁻⁵)

 =log₂2³⁻⁵

 =3.5log₂2

 =3.5

2)logₐ(⁴√a³)                              [Let b=a; its not available in subscript]

 =logₐa⁰⁻⁷⁵

 =0.75logₐa

 =0.75

3)log₂(logₓx²)

 =log₂(2logₓx)

 =log₂2

 =1

4)log₂√(32/√8)

 =log₂√(2⁵/2¹⁻⁵)

 =log₂√2³⁻⁵

 =log₂2¹⁻⁷⁵

 =1.75log₂2

 =1.75

I HOPE YOU KNOW THE LOGARITHMIC IDENTITIES TO UNDERSTAND THIS.