Question

Use properties of logarithms to find the exact value of the expression.

(log3(81)^4

Answer 1

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

Answer 2

I meant it the way it is written. The book answer is 256. In excel, it confirms that the answer is 256.

Answer 3

(log₃ 81)^4 , ((log₃ 81)=4 by definition)
= (4)^4
= 256

Answer 4

Hi, I have the same problem, but could you show the solutions in terms of "Properties of Logarithms"

Thanks,
Chelsea

Answer 5

ghyguh