Решите логарифмы(подробно, по свойствам) 1)3*4^(3-log4(24)) 2)7*0,5^(2-log0,5 (35)) 3)7^(1+log7(4)) 4) (1/6 )^(2+log1/6(20)) 5)0,5^(log0,5(4)-1) 6)2,2^log2,2(5)-2)

Основное логарифмическое тождество:

1) = 3*4^3*4^-log₄24= 3*64*1/4^log₄24 = 3*64*1/24 = 8
2) = 7*0,5^2*0,5^-log₀₎₅35 = 7*0,25*1/0,5^log₀₎₅35= 7*0,25*1/35= 0,125
3) = 7^1*7^log₇4 = 7*4 = 28
4) = (1/6)^2 * (1/6)log₁/₆20= 1/36 *20 = 5/6
5) =0,5^log₀₎₅4 * 0,5^-1 = 4 * 2 = 8
6) = 2,2^log₂₎₂5 * 2,2^-2 = 5*25/121 = 125/121