Question

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

Answer 1

Answer:

See attachment for graph

Step-by-step explanation:

See comment for correct question

Given

$y = \log_bx$

Required

The corresponding points on $y =b^x$

On the graph, we have:

$(x_1,y_1) \to (1,0)$

$(x_2,y_2) \to (2,1)$

$(x_3,y_3) \to (4,2)$

$(x_4,y_4) \to (8,3)$

$(x_5,y_5) \to (16,4)$

First, we solve for b in $y = \log_bx$

Using laws of logarithm, the equivalent of the above is:

$x = b^y$

$(x_2,y_2) \to (2,1)$ implies that:

$2 = b^1$

$2 = b$

Rewrite as:

$b =2$

So, the equation $y =b^x$ becomes:

$y = 2^x$

Using the same values of x, we have:

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,4)$

$(x_3,y_3) = (4,16)$

$(x_4,y_4) = (8,256)$

$(x_5,y_5) = (16,65536)$

See attachment for graph