Question

Loga 500 - loga 4, якщо log5 a=1/4

Answer 1

$log_{a} 500- log_{a} 4= log_{a} \frac{500}{4} = log_{a} 125= log_{a} 5^3=3* log_{a} 5=3* \frac{ log_{5} 5}{ log_{5}a } =$

$= 3*4=12$