Homework Help: Math - Properties of Logarithms

Posted by CheezyReezy on Monday, June 6, 2011 at 1:45pm.

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

(log3(81)^4

Math - Properties of Logarithms - Damon, Monday, June 6, 2011 at 2:02pm
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
Math - Properties of Logarithms - CheezyReezy, Monday, June 6, 2011 at 2:33pm
I meant it the way it is written. The book answer is 256. In excel, it confirms that the answer is 256.
Math - Properties of Logarithms - Reiny, Monday, June 6, 2011 at 4:51pm
(log₃ 81)^4 , ((log₃ 81)=4 by definition)
= (4)^4
= 256
Math - Properties of Logarithms - Chelsea, Wednesday, June 8, 2011 at 11:15pm
Hi, I have the same problem, but could you show the solutions in terms of "Properties of Logarithms"

Thanks,
Chelsea

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