Logarithms

Hong Kong

Stage 4 - Stage 5

Consider the function $y=3\log_2x$`y`=3`l``o``g`2`x`.

a

Solve for the $x$`x`-coordinate of the $x$`x`-intercept.

b

Complete the table of values for $y=3\log_2x$`y`=3`l``o``g`2`x`.

$x$x |
$\frac{1}{2}$12 | $1$1 | $2$2 | $4$4 |
---|---|---|---|---|

$y$y |
$\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |

c

State the equation of the vertical asymptote.

d

Sketch the graph of $y=3\log_2x$`y`=3`l``o``g`2`x`.

Loading Graph...

Easy

5min

Consider the function $y=-\log_3x$`y`=−`l``o``g`3`x`.

Easy

3min

Consider the function $y=\log_3x-1$`y`=`l``o``g`3`x`−1.

Easy

4min

Consider the function $y=-3\log_5x$`y`=−3`l``o``g`5`x`.

Easy

3min

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