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.