6.05 Graphs of logarithms

Interactive practice questions

Consider the graphs shown below.

Which of these graphs represents a logarithmic function of the form $y=\log_a\left(x\right)$y=loga(x)?

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Easy

< 1min

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

Easy

5min

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

Easy

1min

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

Easy

< 1min

recognise the qualitative features of the graph of 𝑦=log_𝑎(𝑥) (𝑎>1), including asymptotes, and of its translations 𝑦=log_𝑎(𝑥)+𝑏 and 𝑦=log_𝑎(𝑥+𝑐)