Given that \(\displaystyle{{\log}_{{a}}{\left({5}\right)}}\approx{0.65}\) and \(\displaystyle{{\log}_{{a}}{\left({3}\right)}}\approx{0.44}\), evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the logarithms of 5 and 3

a)\(\displaystyle{{\log}_{{a}}{\left({0.6}\right)}}\)

b)\(\displaystyle{{\log}_{{a}}{\left(\sqrt{{3}}\right)}}\)

c)\(\displaystyle{{\log}_{{a}}{\left({15}\right)}}\)

d)\(\displaystyle{{\log}_{{a}}{\left({25}\right)}}\)

e)\(\displaystyle{{\log}_{{a}}{\left({75}\right)}}\)

f)\(\displaystyle{{\log}_{{a}}{\left({1.8}\right)}}\)