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5.06 Logarithmic graphs and scales

Interactive practice questions

Consider the function $y=\log_4x$y=log4x.

a

Complete the table of values for $y=\log_4x$y=log4x, rounding any necessary values to two decimal places.

$x$x $0.3$0.3 $1$1 $2$2 $3$3 $4$4 $5$5 $10$10 $20$20
$y$y $-0.87$0.87 $\editable{}$ $\editable{}$ $0.79$0.79 $\editable{}$ $\editable{}$ $1.66$1.66 $\editable{}$
b

Which of the following is the graph of $y=\log_4x$y=log4x?

Loading Graph...

A

Loading Graph...

B

Loading Graph...

C

Loading Graph...

D
Easy
5min

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

Easy
1min

Consider the graph of $y=\log_3x$y=log3x.

Easy
1min

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

Easy
2min
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Outcomes

VCMNA356 (10a)

Use the definition of a logarithm to establish and apply the laws of logarithms and investigate logarithmic scales in measurement

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