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.
(log3 81)^4 , ((log3 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
To find the exact value of the expression (log3(81))^4 using properties of logarithms, we can start by rewriting the expression.
First, let's simplify the logarithm. Since log3(81) means "what power of 3 gives us 81," we know that 3^4 = 81. Therefore, log3(81) = 4.
So, the expression (log3(81))^4 can be rewritten as 4^4.
Now, we simply calculate 4^4, which equals 256.
Therefore, the exact value of the expression (log3(81))^4 is 256.