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

Answer:

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

Step-by-step 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:

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