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) СРОЧНО!!!!

основное логарифмическое тождество: [latex] a^{ log_{a} b} =b[/latex] [latex]3* 4^{3- log_{4}24 } =3* \frac{ 4^{3} }{ 4^{ log_{4} 24} } =3* \frac{ 4^{3} }{24} = \frac{3*64}{24} =8[/latex] [latex]( \frac{1}{6} ) ^{2+ log_{ \frac{1}{6} }20 } =( \frac{1}{6} ) ^{2} *( \frac{1}{6} ) ^{ log_{ \frac{1}{6} }20 } = \frac{1}{36}*20= \frac{5}{9} [/latex]

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