
Question on Logarithm
If [I]x[I] is a ndigit whole number, write down the range of values of
lgx. There are 168 digits in 47^100. How many digits are there in
47^47?
Extend the result in an appropriate manner.
I got the answer, which is 79 digits.
But I'm not sure how to extent the result. How to extend? Anyone can help?

[quote=acc100jt;61258]If x is a ndigit whole number, write down the range of values of
lgx.
[quote]
defined this way $\displaystyle 10^{n1}<n \le 10^n1$, so assuming that
$\displaystyle \lg$ denotes log to the base 10, we have:
$\displaystyle
n1< \log_{10}(n) < n
$
RonL