Question

It doesn’t have a box on the picture for an answer because that thing has an error, but I still need help with finding the solutions.

Answer 1

`\log _a(\frac{\sqrt[]{3}}{10})=-0.0410`

Explanation:

Given the logarithms, find the following expressions:

`\log _a(\frac{\sqrt[]{3}}{10})=\log _a\sqrt[]{3}-\log _a10`

Using the rule for root logarithms:

`\begin{gathered} \log _a\sqrt[p]{x}=(\log _ax)/(p) \\ \text{Solving the expression:} \\ (\log_a3)/(2)-(\log _a5\cdot\log _a2)=(0.6131)/(2)-(0.8982\cdot0.3869) \\ =-0.0410 \end{gathered}`