Question

How to evaluate 3log3(14) without a calculator?

Answer 1

what do you mean by "evaluate"?

Answer 2

There is a rule in log:
\[\log(a \cdot b) = \log(a) + \log(b)\]

Answer 3

You can write 14 as \(7 \times 2\)..

\[3 \log_3(7 \times 2) = 3(\log_3(7) + \log_3(2))\]

And after that I will have to use calculator, ha ha ha...

Answer 4

i can think of using the derivative as the slope of a tangent line at some point, and getting approximations

Answer 5

But I can't..