Topics
Logarithmic Functions
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CanadaON
Grade 12

Introduction to the logarithm function

Lesson
Practice

Interactive practice questions

Consider the graph of $y=\log_5x$y=log5​x that has been graphed below.

Loading Graph...
A graph of $y=\log_5x$y=log5​x on a cartesian plane. The graph shows a curve that gets closer and closer to the y-axis (the vertical line where x = 0) as $x$x approaches zero from the right, but it never actually touches the y-axis

Which of the statements below is correct?

$y=\log_5x$y=log5​x has no asymptotes.

A

$y=\log_5x$y=log5​x has a vertical asymptote.

B

$y=\log_5x$y=log5​x has a horizontal asymptote.

C
Easy
< 1min

Consider the function $y=\log_4x$y=log4​x, the graph of which has been sketched below.

Easy
3min

Consider the function $y=\log_2x$y=log2​x.

Easy
1min

Consider the function $y=\log_3x$y=log3​x.

Easy
< 1min
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Outcomes

12F.A.2.1

Determine, through investigation with technology and without technology, key features of the graphs of logarithmic functions of the form f(x) = log_b(x), and make connections between the algebraic and graphical representations of these logarithmic functions

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