1. e=?
2. log e=?
3. log (base 5) 1=?
4. log (base 7) 9=?
we went over this a few weeks ago, and i don't remember. thanks in advance.
$\displaystyle e = \lim_{n \to \infty} \left( 1 + \frac 1n \right)^n \approx 2.71828183$
you mean log to the base 10 here, right?2. log e=?
$\displaystyle \log_{10}e = \frac {\ln e}{\ln 10} = \frac 1{\ln 10}$
now punch that into your calculator.
$\displaystyle \log_5 1 = 0$3. log (base 5) 1=?
the log of 1 is zero, no matter what the base is
same as the second one.4. log (base 7) 9=?
$\displaystyle \log_79 = \frac {\log 9}{\log 7} = $ punch it into your calculator and see what you get