Question

log to the base 0.5 of 0.0625 ​

Answer 1

Answer:log5log2+3log2-log5)/log2

Step-by-step explanation:

log5-3log2-log5log2=log0.0625

log0.5=-log2

log of .0625 to the base 0.25

=log0.0625/log0.25

=(log5log2+3log2-log5)/log2

Answer 2

Answer:

4

Step-by-step explanation:

log 0.0625 to base 0.5

so here we take this as

log 0.0625 to base 0.5 = x

0.5 raised to power x = 0.0625 ( since log N base a = x and a power x is N )

so 0.5 power x = ( 0.25 ) whole power 2

0.5 power x = 0.5 power 4

x = 4 ( since 0.5 in LHS and RHS gets canceled )