Question

A pergunta está na foto. No gabarito deu 3.

Answer 1

logb(a) = 5 => 2*logb(a) = 10 => logb(a²) = 10
logb(b) = 1 => logb(b^5) = 5
logb(d) = 3 => 3*logb(d) = 9 => logb(d³) = 9

logb(a²× b^5/d³)/logb(c) = logc(a²×b^5/d³)

(logb(a²) + logb(b^5) - logb(d³))/logb(c) = logc(a²×b^5/d³)

(10 + 5 -9)/2= logc(a²×b^5/d³)
logc(a²×b^5/d³) = 6/2 = 3