3.46: Log and exponential equations

0606/22/O/N/24 — Question 5 · 8 marks · Log laws, Exponentials, Equations

(a)
Solve log2x2+logx2=18\log_{2} x^{2} + \log_{x} 2 = 18.
[4]
(b)
Solve e2x110ex1/2=3e^{2x - 1} - 10e^{x - 1/2} = 3.
[4]