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For the following exercises, use properties of logarithms to evaluate without using a calculator.$$\log _{3}\left(\frac{1}{9}\right)-3 \log _{3}(3)$$
$x=4.86$
Algebra
Chapter 6
Exponential and Logarithmic Functions
Section 5
Logarithmic Properties
Functions
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Idaho State University
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So here we have a long history of 19 minus three long pastry of three, and were asked to evaluate without using so long base three of one. I was gonna be negative too. And the reason for this is that three of the power native to equals nine because we know that we need three square, because we need nine. And then we have a negative sign here because we take the reciprocal reciprocally on what? And then three log base three of three is just one. And the reason for this is that three of the power on this three. So that's why this is one. So now we just have negative two minus three, which is gonna be negative five.
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