3.48: Single lg and reciprocal-base log equation

0606/12/O/N/25 — Question 5 · 7 marks · Log laws, Change of base, Equations

(a)
Write 5lga4lgb35\lg a - 4\lg b - 3 as a single base 1010 logarithm.
[3]
(b)
Solve the equation log5(x+1)log(x+1)5=0\log_{5}(x + 1) - \log_{(x + 1)} 5 = 0.
[4]