Question

the logarithm of 0.0625 to the base 2 is

Answer 1

Hi,

Let log 0.0625 with base 2 = x

=> 2^x = 0.0625

=> 2^x = 2^(-4)

=> x = -4

Hope it helped :-)

Answer 2

$log_{2}(0.0625) = x \\ log_{2}( \frac{625}{10000} ) = x \\ log_{2}( \frac{1}{16 } ) = x \\ log_{2}( {2}^{ - 4} ) = x \\ hence \: \: {2}^{x} = {2}^{ - 4 } \\ x = - 4 \\ so \: log_{2}(0.0625) = - 4$