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
(log_{3} 81)^4 , ((log_{3} 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

- Math - Algebra -
**terreona**, Monday, October 27, 2014 at 9:30am
ghyguh

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