rewrite the expression ln(5/2) in terms of ln(4) and ln(5)

Answer 1

To answer this problem, recall that the quotient rule for logarithms says that log(x/y)= log(x) - log(y). Also, it is important to note that the power rule for logarithms says that log(a^b)= b* log(a). Hence,

ln(5/2)= ln(5/4^1/2)= ln(5) - ln(4^1/2) = ln(5) - 1/2ln(4)