Question

50 баллов [Логарифмы] Помогите вычислить (б)

Answer 1

log(2) (2 - √3) / log(4) (2 + √3)

log(a^k) b^n = n/k log(a) b

(2 - √3)*( 2 + √3) = 4 - 3 = 1

2 - √3 = 1/(2 + √3)

log(2) 1/(2 + √3) / log(2^2) (2 + √3) = - log(2)(2 + √3)/1/2*log(2)(2 + √3) = -1 : 1/2 = -2