Logarithm #3

Geometry Level 2

If log ⁡ 2 ( sin ⁡ π 6 ) = − M \displaystyle \log _{ 2 }{ \left(\sin { \frac { \pi }{ 6 } } \right)} = -M

Then M = ? M = ?

-1 1 2 0

Sidhartha Khare by Sidhartha Khare , 21, India

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

The sine 30' is 0.5 which is nothing but 2^-1. Thus, log(sin(30)) to the base 2 is log(2^-1) to the base 2 = -1*log(2) to the base 2. Hence, M=1.

2 Helpful 0 Interesting 0 Brilliant 1 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...