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$25-34=$ Evaluating Logarithms Evaluate the expression.$$({a})\ e^{\ln \sqrt{3}} \quad \text (\mathbf{b}) \quad e^{\ln (1 / \pi)} \quad \text { (c) } 10^{\log 13}$$
$=13$
Algebra
Chapter 4
Exponential and Logarithmic Functions
Section 3
Logarithmic Functions
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So the rule we need to consider in order to answer this question is the one that state. If I have advice with a log, the explanation exponents and the base off the lock is the same as the base in the whole exponential form. Then this whole look, if this base and the base off the lock are the same bean, this simplifies to whatever is in the logarithms. Right? So let's apply this. We have eaten the power off. Len Squared three. We know that Len is locked to the base off E. I think we have screen squared three and to be in bed. The rule. Now, if the base off the exponential form is equal to the base in the log off the exponents, then it's simply fires to square it. Three I have e to the power off, Len one over X. So again, the Len can be rewritten as lock base E one over X, the two bases all the same, and I'm left with one of X. If I have 10 to the power off log 13 I have to remember that if there's not a base given in the log, it is actually just an imagine retain. So now again, the two basis all the same. And it simplifies to 13
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