IB Mathematics Analysis and Approaches Question Type 4: Finding Logarithm Given Values for a and b Exercises

Evaluate ${\log }_3\left(\frac{1}{27}\right)$.

Evaluate ${\log }_5\left(\frac{1}{125}\right)$.

Evaluate ${\log }_{16}\left(\frac{1}{4}\right)$.

Evaluate ${\log }_8\left(\sqrt[3]{4}\right)$.

Evaluate ${\log }_{0.01}(100)$.

Evaluate ${\log }_{\frac{1}{3}}(9)$.

Evaluate ${\log }_2(8)$.

Evaluate ${\log }_{27}(3)$.

Evaluate ${\log }_4(\sqrt{2})$.

Evaluate ${\log }_{32}(2\sqrt{2})$.

Evaluate ${\log }_{0.2}(25)$.

Evaluate ${\log }_9(3)$.