Answer:
[tex]\log_4{(0.0625)}=-2[/tex]
Step-by-step explanation:
The logarithmic form of ...
[tex]\displaystyle b^e=v[/tex]
is ...
[tex]\log_b{(v)}=e[/tex]
The exponent is the logarithm of the value. The base of the logarithm is the base of the exponential term.
Filling in your numbers, b=4, e=-2, v=0.0625, you have ...
[tex]\log_4{(0.0625)}=-2[/tex]