Answer:
x=0.27
Step-by-step explanation:
The given expression is
[tex]e^{\frac{1}{4}x}=|4x|[/tex]
To solve this equation, we graph the functions:
[tex]f(x)=e^{\frac{1}{4}x}[/tex]
and
[tex]g(x)=|4x|[/tex]
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
