Question

tentuknlh himpunan dari penyelesaian persamaan logaritma log log (x+3)+log 2 = log log 16x

Answer 1

Loglog(x+3) + log2 = loglog16x
log(log(x+3)*2) = loglog16x
2 log(x+3) = log16x
log(x+3)² = log16x
(x+3)² = 16x
x²+6x+9 = 16x
x²-10x+9 = 0
(x-1)(x-9) = 0
x=1 dan x=9

HP={x=1 dan x=9}