You can put this solution on YOUR website! 1776^53
Let x = 1776^53
log x = 53*3.24944...
10^(logx) = 10^(53*3.24944...)
x = 10^172.2203...
You could get your calculator and find which is
and then mutiply that by to get
. However that won't get you any closer
to finding !
That's because calculators as a rule can only work
directly with numbers less than , "1 google".
You can't get on a calculator directly because
that number is bigger than googol. Most calculators made today
can do anything but give an overflow error message for a google
and anything larger.
However you can get larger numbers indirectly on your calculator.
On my calculator I find that I can get
However when I try to get I get an overflow
We can break down this way:
both of which can be
found on the calculator:
Then we can multiply those decimal parts,
then add the exponents of ten and get
However, that's not in scientific notation because
is not less than 10, so we write it in scientific notation as
, then substituting we have
or adding the exponents of ten:
Notice that we could have broken down in a number
of other ways, for example:
And so we have, as above:
There is a slight difference between the two. I would guess
that that latter is closer to the true value, but we could
safely round either answer to this: