Question

log0.0625 to the base 0.5 (please answer the question with solution )

Answer 1

4 is the answer
process:- 0.5power 4 is 0.0625.
4
log 0.625 log(0.5)
0.5. = 0.5


= 4 log (0.5)
0.5
=4.
(since log(0.5) =1)
0.5

Answer 2

㏒ₐb = $\frac{log(b)}{log(a)}$

㏒ₐbⁿ = n㏒ₐb and ㏒ₐa = 1

㏒₀.₅(0.0625)

=㏒₀.₅(0.5)⁴
=4㏒₀.₅(0.5)
=4×1 = 4