Question

Which of these expressions is equivalent to log 250

Answer 1

ANSWER

Option B

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:

$\log (\frac{1000}{4})$

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

$\log (\frac{a}{b})=\log a-\log b$

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.