3.41: Log and exponential equations

0606/12/O/N/24 — Question 6 · 8 marks · Log laws, Exponentials, Equations

JSON Q6 is binomial; entry uses the log/exp solve pair from the same paper crop.

(a)
Solve the equation log⁡2(x2)+log⁡x2=18\log_{2}(x^{2}) + \log_{x} 2 = 18.
[4]
(b)
Solve the equation e2x−1−10ex−1/2=3e^{2x - 1} - 10e^{x - 1/2} = 3.
[4]