Question

Помогите: Log27 8/ Log3 4

Answer 1

$frac{Log_{27}8}{Log_34}= frac{Log_{3^3}8}{Log_34}= frac{1}{3}* frac{Log_38}{Log_34} = frac{1}{3}*Log_48= frac{1}{3}Log_{2^2}8= frac{1}{3}* frac{1}{2}*Log_28=$

$= frac{1}{3}* frac{1}{2}*Log_22^3= frac{3}{6}= frac{1}{2}=0.5$

Answer 2

Loq_3³ 2³ / Loq_3 2² = Loq_3 2 / 2Loq_3 2 =0,5. * * *Loq_a^k M^k =Loq_a M ; Loq_a M^k = kLoq_a M . * * *