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$25-34=$ Evaluating Logarithms Evaluate the expre…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105

Problem 31 Easy Difficulty

$25-34=$ Evaluating Logarithms Evaluate the expression.
$${ (a) }\ 3^{\log _{3} 5} \quad \text { (b) } 5^{\log _{5} 27} \text { (c) } e^{\ln 10}$$

Answer

$=10$

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Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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Exponential and Logarithmic Functions

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Video Transcript

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. So if I have three to the power off log 35 then I see that the base of the whole exponential form is equal to the base off the log. So my own two year will just be five If I have five spot exponential base to the power off lock base 5 27 Again. The base is equal to the base off the log. So therefore it becomes 27. Then I have e to the power off Lynn 10. Now, remember Lenin, which is the natural longer them, it's just lock with a base off e. So as you can see your again, the base off the exponential form is equal to the base off the lock. So this simplifies to

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