3.50: Exponential equation and sketch

0606/22/M/J/22 — Question 5 · 5 marks

(a)
Solve the equation 125x/2625x/3=5\dfrac{125^{x/2}}{625^{x/3}} = 5.
[3]
(b)
On the axes, sketch the graph of y=4ex+3y = 4\mathrm{e}^{x} + 3, showing intercepts with the coordinate axes.
[2]