2.6: Exponential equation; lg equation with two factors

0606/21/O/N/19 — Question 3 · 8 marks · Exponentials, Log laws, Equations

(a)
Solve e2x+1=3e43xe^{2x + 1} = 3e^{4 - 3x}.
[3]
(b)
Solve lg(y6)+lg(y+15)=2\lg(y - 6) + \lg(y + 15) = 2.
[5]