(1-log4 36)(1-log9 36)

Question

(1-log4 36)(1-log9 36)

Comments

перейди к основанию 36, там в ответе 1 будет

Answer 1

(1 - 1/log36 4)(1 - 1/log36 9) = 1 - 1/log36 9 - 1/log36 4 + 1/(log36 4 * log36 9) =

= 1 - (1/log36 9 + 1/log36 4) + 1/(log36 4 * log36 9) = 1 - ( (log36 4 + log36 9) / (log36 9 + log36 4) ) + 1/(log36 4 * log36 9) = 1 - ( log36 36 / (log36 9 * log36 4) ) + 1/(log36 4 * log36 9) = 1 - 1 / (log36 9 * log36 4) + 1/(log36 4 * log36 9) = 1