Algebra
posted by Kendall .
Use properties of logarithms to find the exact value of each expression. Do not use a calculator.
8^log 8^5

Algebra 
Reiny
let x = 8^log8^5
I can't see a way to get an "exact" answer.
by calculator I get appr 11963.5
are you sure the base of the log is not 8 ? 
Algebra 
Kendall
Sorry, it says
8^log(8^5) 
Algebra 
Reiny
then my above answer stands, no "exact" answer other than 8^log(8^5) itself
check:
log 8^5 = log 32768 = 4.515449...
then 8^log (8^5)
= 8^4.51449 = appr 11963.5
I would get an 'exact' answer if the base of the log at the top had been 8.
That is why I questioned your problem.
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