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$49-52$ Graphing Logarithmic Functions Sketch the…
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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 50 Easy Difficulty

$49-52$ Graphing Logarithmic Functions Sketch the graph of
the function by plotting points.
$$g(x)=\log _{4} x$$

Answer

The curve and data table of the function $f(x)=\log _{4} x$

Related Courses

Algebra
Algebra and Trigonometry

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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Exponential and Logarithmic Functions

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Problem 1
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Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
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Problem 21
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Problem 28
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Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
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Problem 81
Problem 82
Problem 83
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Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92
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Problem 94
Problem 95
Problem 96
Problem 97
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Problem 99
Problem 100
Problem 101
Problem 102
Problem 103
Problem 104
Problem 105

Video Transcript

So if you want to sketch this function well, the first thing we can do is convert this this log rhythmic equation into an exponential equation. So we can have. We can say our base for race to wise is this equal to X. And so now if we have, if we have X is equal to, let's say, for example, one then are wise equal to zero. If X is equal to four, then are wise equal to one. And let's say X is equal to Let's say X is equal to 16. Well, then why is equal to two? And so if we were to graft this, let's say we're graphing this year. This is X, and this is our Y axis. So we have X is equal to one. Why's X is equal to four? So this is one. This is, Let's say, for example, this is four, therefore, is a little bit further down a little bit further down, or and this is all the way at 16. Well, when X is equal to one, y is equal to zero. When X is equal to four. Why is equal to one and when X is equal to 16. Why is equal to two? So let's look at the the end values well when X approaches when X approaches. Zero. Remember, we could never have some value to an export of that equal zero. But this number can get it increasingly closer to zero as y approaches negative infinity. And so so our graph when x approaches. Zero This why approaches negative infinity And when X gets really, really, really large, so would our Why value. So let's let's crafty. So when we have X is equal to one wise equal to zero when X is equal to four wise equal to one and when X is equal to 16 why is equal to two? But this graph has a has a vertical ass in tow. We haven't asked until here and our graph goes, paragraph goes, How important two and family is there a graph looks something like this. So it'll keep continuing up till infinity but are slow. Gets a little bit little evens off. But it will still go to infinity as X approaches infinity and why will go to infinity

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Algebra and Trigonometry

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