Math  Properties of Logarithms
posted by CheezyReezy on .
Use properties of logarithms to find the exact value of the expression.
(log3(81)^4

I think you mean
log3(81)^4
4 log3(81)
find log3(81) first
3^(log 3(81)) = 81
but 81 = 9*9 = 3^4
so log3(81) = 4
so we have
4 * 4 = 16 
I meant it the way it is written. The book answer is 256. In excel, it confirms that the answer is 256.

(log_{3} 81)^4 , ((log_{3} 81)=4 by definition)
= (4)^4
= 256 
Hi, I have the same problem, but could you show the solutions in terms of "Properties of Logarithms"
Thanks,
Chelsea 
ghyguh