Answer
There is common difference
Work Step by Step
Check the differences between consecutive terms using logarithm properties:
$$\log 4-\log 2=\log\frac{4}{2}=\log2$$
$$\log 8-\log 4=\log\frac{8}{4}=\log2$$
$$\log 16-\log 8=\log\frac{16}{8}=\log2$$
As there is common difference, it is arithmetic sequence.