particle motion

Question

3.  A particle moves along the x-axis so that at any time t > 0, its velocity is given by v(t)=ln(1+2^t) Find the acceleration of the particle when t = 3.

Answer 1

a(t) = v'(t) = (2^t)(ln 2)/(1+2^t)

a(3) = 8*ln 2/9