Question

Which of these expressions is equivalent to log 250

Answer 1

Option B

Step-by-step explanation

We want to find the expression that is equivalent to:

`\log 250`

To do this, we have to express 250 as an exponent of 10.

That is:

`\log ((1000)/(4))`

Now, we can separate the terms using one of the laws of logarithm that states that:

`\log ((a)/(b))=\log a-\log b`

Therefore, we have that:

`\log 1000-\log 4`

Now, simplifying further, we have:

`\begin{gathered} \log 10^3-\log 4 \\ \Rightarrow3\log 10-\log 4 \\ \Rightarrow3-\log 4 \end{gathered}`

The answer is option B.