Question

(IFCE) Considerando log7 2=w, temos que valor de log4 14 pode ser expressado por:

A) 2/w+1

B) 2w/w+1

C) 3w/2

D) 2/w

E) w+1/2w

Answer 1

log 7(2)=w

log 4(14)=log 4(2.7)=log 4(2)+log 4(7)

=1/2+1/log 7(4)= 1/2+ 1/2log 7(2)

=1/2+1/2w

=2w+2/4w

=w+1/2w //.

Alternativa (E) //.