Question

Выразить log через log???

Answer 1

Решение во вложении:

Answer 2

$1) \: a = log_{3}(25 ) = \frac{1}{ log_{25}(3) }$


$2) \: \: b = log_{25}(8)$

$3) \: a \times b = \frac{1}{ log_{25}(3) } \times log_{25}(8) = \frac{ log_{25}(8) }{ log_{25}(3) } = \\ \\ = log_{3}(8) = 3 log_{3}(2) = \frac{3}{ log_{2}(3) }$

Значит,
$a \times b = \frac{3}{ log_{2}(3) }$

$log_{2}(3) = \frac{3}{ab}$

ОТВЕТ: 4