8 Nonlinear relationships
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?
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A
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B
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C
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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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