Posted by Sam I Am on Sunday, February 19, 2012 at 6:19pm.
234^789 = 10^x
789 log 234 = x log 10 = x
789 * 2.37 = x
x = 10^1869
let x = 234^789
log x = log 234^789
= 789 log 234 = 1869
then x = 10^1869
so 234^789 = 1.0 x 10^1869
or really
x = 10^1869.311311....
.311311311311..... is a ratio of rational numbers which you could figure out if you choose, but that is probably beyond what the problem asks for.
...ratio of whole numbers I mean.
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