Question

how would I show 7776 as a power using the base of 6?? I know it is 6^5 because I divided by 6 until I got 1, but is there a different way?

Answer 1

you can cheat if you like

Answer 2

with a calculator that is.

Answer 3

if you didn't see immediately that
\[6^5=2776\] you could solve
\[6^x=2776\] for x by taking out your calculator and computing
\[\log(2776)\div \log(6)\] and you will get 5
try it

Answer 4

all typos there .
should be
\[6^x=7776\]
\[x=\log(7776)\div \log(6)\]