# Find 12log3? What does it tell us?

Apr 9, 2017

$12 \log 3 = 5.7252$ and this means ${3}^{12}$ has six digits.

#### Explanation:

As $\log 3 = 0.4771$

$12 \log 3 = 12 \times 0.4771 = 5.7252$

In other words $\log \left({3}^{12}\right) = 5.7252$

As characteristics of log is $5$, it tells us that

${3}^{12}$ has $5 + 1 = 6$ digits.

In fact ${3}^{12} = 531441$