Answer
a). If we take base 10, then $x=10^{n}$ means $n=log_{10}x$
so, if x is less than 1, this means that $10^{n}$ must be a fraction, so n must be negative.
b). log (-100) does not make any sense, because $10^{n}$ can never be negative.
Work Step by Step
a). If we take base 10, then $x=10^{n}$ means $n=log_{10}x$
so, if x is less than 1, this means that $10^{n}$ must be a fraction, so n must be negative.
b). log (-100) does not make any sense, because $10^{n}$ can never be negative.