1) log 1/5( 9)+2 log 1/5 (5/3)
2) log 3 (8)+ 3 log 3 (9/2)
3) log 7 (196)-2 log 7 (2)
4) log 2 (√ 3)+1/2 log 2 (4/3)
1) log 1/5( 9)+2 log 1/5 (5/3)
2) log 3 (8)+ 3 log 3 (9/2)
3) log 7 (196)-2 log 7 (2)
4) log 2 (√ 3)+1/2 log 2 (4/3)

Предыдущий
вопрос Следующий
вопрос

1) log 1/5(9) + 2 log 1/5(5/3)
= log 1/5(9) + log 1/5((5/3)^2)
= log 1/5(9) + log 1/5(25/9)
= log 1/5(9 * 25/9)
= log 1/5(25)
= log 1/5(5^2)
= 2

2) log 3(8) + 3 log 3(9/2)
= log 3(8) + log 3((9/2)^3)
= log 3(8) + log 3(729/8)
= log 3(8 * 729/8)
= log 3(729)
= log 3(3^6)
= 6

3) log 7(196) - 2 log 7(2)
= log 7(196) - log 7(2^2)
= log 7(196) - log 7(4)
= log 7(196/4)
= log 7(49)
= log 7(7^2)
= 2

4) log 2(√3) + 1/2 log 2(4/3)
= log 2(3^(1/2)) + log 2((4/3)^(1/2))
= log 2(3^1) + log 2((4/3)^1)
= 1 + log 2(4/3)
= 1 + log 2((2^2)/3)
= 1 + log 2(2^2) - log 2(3)
= 1 + 2 - log 2(3)
= 3 - log 2(3)