How do you calculate log0.1?
Calculate the given expression:
Given expression: log0.1.
0.1 can be written in standard form as 10-1.
Thus, log0.1=log10-1.
As, logba=logb·b·b......·b(atimes)=logb+logb+logb+...+logbatimes
Thus, log(ba)=alog(b).
⇒log0.1=-1log10
It is known that log10=1.
⇒log0.1=-1×1⇒log0.1=-1
Therefore, log0.1=(-1).