Question

The 555 points plotted below are on the graph of y=\log_b{x}y=log

b
​
xy, equals, log, start base, b, end base, x.
Based only on these 555 points, plot the 555 corresponding points that must be on the graph of y=b^{x}y=b
x
y, equals, b, start superscript, x, end superscript by clicking on the graph.

Answer 1

The graph of the functions y =
`b^x` and
`y=\log_b{x}` sketched and shown in

in the below picture.

The inverse of the logarithmic function
`y=\log_b{x}` is y =
`b^x`.

Plotted points on the graph are (1,0), (2, 1), (4, 2), (8, 3), and (16, 4), and they correspond to the function.

`y=\log_b{x}`

The graph of y = bx must have the following coordinates in order to determine the coordinates of the function.

Coordinate of
`y=\log_b{x}`

Coordinate of y =
`b^x`

From the above graph, it is observed that the black curve represents the function y =
`b^x`, and the green curve represents the function
`y=\log_b{x}`

where as the coordinates of the graph of the functions y =
`b^x` and
`y=\log_b{x}` connected by the smooth curve.