Question

$log_{2}(0.5) + log_{3}( \sqrt{3} ) + log_{4}(8)$
é:
a)1
b)-1
c)0
d)2​

Answer 1

Resposta:

Alternativa a)

Explicação passo-a-passo:

log₂(0,5)=log₂(1/2)=log₂2⁻¹= -1.log₂2= -1

log₃√3=log₃(3)^(1/2)=1/2.log₃(3)=1/2

log₄8=log₄(2)³=x

4^(x)=2³

2^(2x)=2³

2x=3

x=3/2

log₂(0,5)+log₃√3+log₄8= -1+ 1/2 +3/2=(-2+1+3)/2=2/2=1