Question

f log36≈1.556
, what is log6
to the nearest thousandth?(1 point)
Responses

0.519
0.519

0.259
0.259

0.778
0.778

1.248

Answer 1

To find \( \log 6 \) using the given value of \( \log 36 \approx 1.556 \), we can use the fact that:

\[
\log 36 = \log(6^2) = 2 \log 6
\]

So, we can set up the equation:

\[
2 \log 6 \approx 1.556
\]

Now, we can solve for \( \log 6 \):

\[
\log 6 \approx \frac{1.556}{2} \approx 0.778
\]

Thus, to the nearest thousandth, \( \log 6 \) is approximately \( 0.778 \).

The correct response is:

**0.778**