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

x=0.27

Explanation:

The given expression is

`e^{(1)/(4)x}=|4x|`

To solve this equation, we graph the functions:

`f(x)=e^{(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