Question

What are the solutions to the equation e^1/4x =|4x|

Answer 1

-0.25 and 0.25.

That is already estimated.

Answer 2

Answer:

x=0.27

Step-by-step explanation:

The given expression is

$e^{\frac{1}{4}x}=|4x|$

To solve this equation, we graph the functions:

$f(x)=e^{\frac{1}{4}x}$

and

$g(x)=|4x|$

From the graph, the two curves intersects at x=-0.24 and x=0.27.

But the domain of the logarithmic function is x>0

Therefore x=0.27