Question 11

The characteristic of $$\log_3 2006$$ is __________


Correct Answer: 6

Solution

Since $$3^6 = 729 < 2006 < 2187 = 3^7$$, we have $$6 < \log_3 2006 < 7$$. The characteristic is the integral part of the logarithm, so it is 6.

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