Question

Найти значение выражения

Answer 1

a) log14(49) + log14(4) = log14(49 * 4) = log14(14 ^ 2) = 2

б) log11(605) - log11(5) = log11(605/5) = log11(121) = 2

в) 2 ^ log2(25) = 25 - осн.свойство

Answer 2

Ответ:

Объяснение:

log₁₄49 + log₁₄4 = log₁₄7² + log₁₄2² = 2(log₁₄7 + log₁₄2) = 2log₁₄14 = 2

log₁₁605 - log₁₁5 = $log_{11}$$\frac{605}{5}$ = log₁₁121 = log₁₁11² = 2log₁₁11 = 2

$2^{log_{2} 25} = 25^{log_{2} 2} = 25$