Write each expression as a single logarithm.

Question

1/2 log₄ x+3 log₄ y

Answer 1

Use these 2 properties of logs:

 

log(aⁿ) = n log(a)

log(ab) = log(a) + log(b)

 

(1/2) log₄ x + 3 log₄ y = log₄ x^1/2 + log₄ y³ = log₄(x^1/2y³)