Question

Use the graph to estimate the solutions to 4 log2 (2x) = x + 4. Select all that apply.

Answer 1

Given:

The equation is:

`4\log_2(2x)=x+4`

The graph of the
`4\log_2(2x)` and
`x+4` are given on a coordinate plane.

To find:

The solution of the given equation from the given graph.

Solution:

From the given graph it is clear that the graphs of
`4\log_2(2x)` and
`x+4` intersect each other at points (1.24,5.24) and (16,20).

It means the values of both functions
`4\log_2(2x)` and
`x+4` are equal at
`x=1.24` and
`x=16`.

So, the solutions of given equation are
`x=1.24` and
`x=16`.

Therefore, the correct option is only F.