Слогарифмами, 1.log0,4(16)-2log0,4(10) 2.log0,5(125)-3log0,5(10) - вопрос №4821425104162041020512530510326 от DevA777 03.07.2022 06:48

Question

Алгебра: Слогарифмами, 1.log0,4(16)-2log0,4(10) 2.log0,5(125)-3log0,5(10) 3.2log6(3)-log6(1/4) 4.log0,3(27)-3log0,3(10)

DevA777 · Answer

1 . log0,4(16) - 2log0,4(10) = log0,4(16) - lig0,4(10)² = log0,4{16/100)=
=log0,4(0.4)² = 2·log0,4(0,4)= 2·1= 2

2. = log0,5(125) - log0,5(10³)= log0,5(125/1000)= log0,5( 0,5³)= 3

3. =log6(3²) + log6[(1/4)^(-1)]= log6(9)+log6(4)= log6(6²)= 2

4. =log0,3(3³) - 3log0,3(10) = 3·(log0,3(3) - log0,3(10) =
= 3·log0,3(3/10) = 3·1= 3