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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