Easy as 3 × 3 3 \times 3

Algebra Level 1

What is

ln ⁡ ( 3 3 3 ) \large \ln (3^{3^{3}})

3 × ln ⁡ 3 3 \times \ln 3 9 × ln ⁡ 3 9 \times \ln 3 27 × ln ⁡ 3 27 \times \ln 3 6 × ln ⁡ 3 6 \times \ln 3

Robert Szafarczyk by Robert Szafarczyk , 20, Poland

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

By the feature of logs ( log ⁡ x y = y log ⁡ x \log x^{y} = y \log x ) we get that ln ⁡ ( 3 3 3 ) = ln ⁡ ( 3 ( 3 3 ) ) = 3 3 ln ⁡ 3 = 27 ln ⁡ 3 \ln (3^{3^{3}}) = \ln (3^{(3^{3})}) = 3^{3} \ln 3 = 27 \ln 3

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...