11.08 Equations using logarithms (Enrichment)
Interactive practice questions
The graphs of $y=3^x$y=3x (labelled $B$B) and $y=x$y=x (labelled $A$A) have been plotted below.
By reflecting $y=3^x$y=3x about the line $y=x$y=x, plot the graph of the inverse of $y=3^x$y=3x.
The graphs of $y=3^{-x}$y=3−x (labelled $B$B) and $y=x$y=x (labelled $A$A) have been plotted below.
By reflecting $y=3^{-x}$y=3−x about the line $y=x$y=x, plot the graph of the inverse of $y=3^{-x}$y=3−x.
The graphs of $y=\left(\frac{1}{2}\right)^x$y=(12)x (labelled $B$B) and $y=x$y=x (labelled $A$A) have been plotted below.
By reflecting $y=\left(\frac{1}{2}\right)^x$y=(12)x about the line $y=x$y=x, plot the graph of the inverse of $y=\left(\frac{1}{2}\right)^x$y=(12)x.
The graphs of $y=\log_2x$y=log2x (labelled $B$B) and $y=x$y=x (labelled $A$A) have been plotted below.
By reflecting $y=\log_2x$y=log2x about the line $y=x$y=x, plot the graph of the inverse of $y=\log_2x$y=log2x.