Evaluate $\log_33$log33.
Evaluate $\log_{10}10^{\frac{5}{4}}$log101054.
Evaluate $\log_7\sqrt[3]{7}$log73√7.
Given that $a>1$a>1, fully simplify the expression $\log_a\left(\frac{1}{a^2}\right)$loga(1a2).
Use the definition of a logarithm to establish and apply the laws of logarithms and investigate logarithmic scales in measurement