Find the equation of the tangent to the curve \(y = \mathrm { e } ^ { 4 x }\) at the point ( \(a , \mathrm { e } ^ { 4 a }\) ).
8
Find the value of \(a\) for which this tangent passes through the origin.
8
Hence, find the set of values of \(m\) for which the equation
has no real solutions.
$$\mathrm { e } ^ { 4 x } = m x$$
has no real solutions. [0pt]
[3 marks]