3.28: Single lg and equation in log_a 4

0606/12/O/N/21 — Question 3 · 9 marks · Log laws, Change of base, Equations

(a)
Write 3+2lga4lgb3 + 2\lg a - 4\lg b as a single logarithm to base 1010.
[4]
(b)
Solve the equation 3loga4+2log4a=73\log_{a} 4 + 2\log_{4} a = 7.
[5]