Question

If log1/2 (0.0625) = x, then the value of x is​

Answer 1

Answer:

log 0.0625 to the base 2.

=log (0.0625/10000) to the base 2.

= log(1/16) to the base 2.

= log (2)^(-4) to the base 2.

= -4. (log 2 to the base 2).

We know that :-

log x to the base y =log x/log y………….(1)

= -4.{(log 2)/(log 2)}.

= -4×1.

= -4 , Answer.

Second method:-

Let k=log 0.0625 to the base 2. then

2^k=0.0625.

(2)^k =0.0625/10000 = 1/16.

(2)^k =1/(2)^4.

(2)^k = (2)^(-4) => k = -4 , Answer.