Question

Suppose r = log, 2, 3 = = log, 3, and t = log, 5. Which algebraic expression representslog, 75?

Answer 1

`\begin{gathered} r=\log _a2 \\ s=\log _a3 \\ t=\log _a5 \end{gathered}`

Therefore,

`\begin{gathered} \log _a75=\log _a5+\log _a5+\log _a3 \\ \log _a75=t+t+s \\ \log _a75=2t+s \end{gathered}`