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New Zealand
Level 7 - NCEA Level 2

Intro to Log Functions

Interactive practice questions

Consider the graph of $y=\log_5x$y=log5x that has been graphed below.

Loading Graph...
A graph of $y=\log_5x$y=log5x 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=log5x has no asymptotes.

A

$y=\log_5x$y=log5x has a vertical asymptote.

B

$y=\log_5x$y=log5x has a horizontal asymptote.

C
Easy
< 1min

Consider the function $y=\log_4x$y=log4x, the graph of which has been sketched below.

Easy
3min

Consider the function $y=\log_2x$y=log2x.

Easy
1min

Consider the function $y=\log_3x$y=log3x.

Easy
< 1min
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Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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