Question

Find the value of the logarithms without using a calculator.a.log416b.log636c.log381d.log24e.log5625

Answer 1

Answer:$\begin{gathered} \log _416=2 \\ \log _636=2 \\ \log _381=4 \\ \log _24=2 \\ \log _5625=4 \end{gathered}$

Explanation:$\begin{gathered} \log _416=\log _44^2 \\ \\ =2\log _44=2\times1=2 \end{gathered}$$\begin{gathered} \log _636=\log _66^2 \\ =2\log _66=2 \end{gathered}$$\begin{gathered} \log _381=\log _33^4 \\ =4\log _33=4 \end{gathered}$$\begin{gathered} \log _24=\log _22^2 \\ =2\log _22=2 \end{gathered}$$\begin{gathered} \log _5625=\log _55^4 \\ =4\log _55=4 \end{gathered}$