Use the properties of logarithms to rewrite each expression in an equivalent form containing a single logarithm.1/2 log(16) + log(3) + log 1/4

Answer:[tex]\frac{1}{2}\log(16) + \log(3) + \log(\frac{1}{4})[/tex] = log(3)Step-by-step explanation:Given equation:[tex]\frac{1}{2}\log(16) + \log(3) + \log(\frac{1}{4})[/tex]now,we know the properties of log function as:1) log(A) + log(B) = log(AB)2) log(A) - log(B) = [tex]\log(\frac{A}{B})[/tex]3) log(Aᵇ) = b × log(A)therefore,using property 3 we get[tex]\log(16)^{\frac{1}{2}} + \log(3) + \log(\frac{1}{4})[/tex]or[tex]\log(4) + \log(3) + \log(\frac{1}{4})[/tex]now,using the property 2 we get⇒ log(4) + log(3) + log(1) - log(4)or⇒ log(3) + log(1)now,using the property 1, we get⇒ log(3 × 1)or⇒ log(3)