3.43: Base-2 log and lg = log_x 10

0606/13/O/N/24 — Question 4 · 7 marks · Log laws, Change of base, Equations

(a)
Write 3+4log2alog2b3 + 4\log_{2} a - \log_{2} b as a single base 22 logarithm.
[3]
(b)
Solve the equation lgx=4logx10\lg x = 4\log_{x} 10.
[4]