Question

24) If f(x) = 3x and g(x) = log2 x, then what is f (g(a))? (where a is any real positive number)

Answer 1

First Method---

Soluca Given that f(x) = 3% glx) = log₂ (2) - Now gew= logolas 1 lifin = 3² f1910) = f ( logzla)) z logola) foglas) = 0; i mozemolossa Proof of statement mlogm (c) = Let t= m logom(c) - Taking login both sides logolt) = loganlamlagmier) = logmccs logmlm) = log mltl = loginis Taking antilog, will get [ t=0
Second Method----

Solveo we have f(glas) = f(log,lal) f1210)) = z logela) Taking logo of both sides, the get log, (1310) = logy (zlozzler, = logz(a) logz (7) logy(+1261)) = logz la) Taking antilog of both sides, we get foglal) = 0 :: logam l=nlogimi
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