Question

Which of the following logarithmic is equivalent to the logarithmic expression

Answer 1

Given,

The expression is,

$\log (r)+\log (v)$

By the properties of the logarithmic,

$\begin{gathered} \log (a)+\log (b)=\log (ab) \\ \log (a)-\log (b)=\log (\frac{a}{b}) \\ \log a^b=b\text{ log a} \end{gathered}$

So, according to the properties, the given expression becomes,

$\log (r)+\log (v)=\log (rv)$

Hence, the solution is log (rv).