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iGCSE (2021 Edition)

6.05 Graphs of logarithmic and exponential functions

Interactive practice questions

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

Loading Graph...

a

Complete the following table of values.

$x$x $\frac{1}{16}$116 $\frac{1}{4}$14 $4$4 $16$16 $256$256
$y$y $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$
b

Determine the $x$x-value of the $x$x-intercept of $y=\log_4x$y=log4x.

c

How many $y$y-intercepts does $\log_4x$log4x have?

d

Determine the $x$x value for which $\log_4x=1$log4x=1.

Easy
3min

Consider the two graphs sketched below.

Easy
< 1min

Consider the graphs shown below.

Easy
< 1min

We are going to sketch the graph of $y=\log_2x$y=log2x.

Easy
4min
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Outcomes

0606C7.1A

Know simple properties and graphs of the logarithmic function including lnx and graphs of k ln(ax + b) where n, k, a and b are integers.

0606C7.1B

Know simple properties and graphs of the exponential function including e^x and graphs of ke^(nx) + a where n and k are integers.

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