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Decide whether each statement is true or false. See Example 7 .$$\log _{3} 8+\log _{3} \frac{1}{8}=0$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 4
Properties of Logarithms
Functions
Exponential and Logarithmic Functions
Oregon State University
Baylor University
Idaho State University
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So we want to determine if the following is true or false. Well, it's not that we have this one over eighth. What we can rewrite won over eight as a negative eight exponent. That's it. Through power of negative one. So we have this cell, and now we can use our car rule here. And then we can rewrite this as laws raise three of bait minus log base. Three of eight. Well, that's equal to zero. And that's equal to our right hand side. So we see that this equation is true.
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