Найдите значение выражения: log₂(5√2) - log₇ 10 / log₇ 2.

log₂(5√2) = log₂ 5 + log₂ √2 = log₂ 5 + 1/2

log₇ 10 / log₇ 2 = log₂ 10 = log₂ (2 · 5) = 1 + log₂ 5

log₂ 5 + 1/2 - (1 + log₂ 5) = log₂ 5 + 1/2 - 1 - log₂ 5 = -1/2