Question

4) Find the value of log√2/256
$\sqrt{2}$
​

Answer 1

Answer:

We have to express 256 in powers of $\sqrt 2 $ to compare the base of the above expression. We can do this by prime factorizing 256. Hence, the value of \[{\log _{\sqrt 2 }}256\] is 16.

Answer 2

$\huge\sf\fbox\purple{answer}$

The value of

$log \: \sqrt{2} = 0.150514997$

Now ,

$log_{}( \sqrt{2} ) \div 256 = 5.879 \times 10 {}^{ - 4}$

HOPE IT SHALL REACH TO THE EXTENT OF YOUR DOUBT !!