ЛОГАРИФМЫ .Помогите решить задния !Пожалуйста хотя бы 6 заданий ))
сильно не пинайте,если что,но мне кажется,что правильно решил 5 первый заданий
6)(1/log2(3/4)) * (log2(9) - 4) - log16(64) = (1/log2(3/4))*log2(3/4) - log2^4(2^6) = -6/4 =-3/2=-1.5
7) log2^4/5^4(2/5) + log2^4/5^4(2/7) + log2^4/5^4(3/5) + log2^4/5^4(7/3) = 1/4 + (1/4) * log2/5(2*3*7/(7*5*3)= 1/4+1/4 = 1/2 = 0.5
8) log3(sqrt(log5(4)) + log9(log64(125)) = log9(log5(4) + log9(log4(5)) = log9(log5(4)/log5(4)) = log9(1) = 0
9) 4^(1/log0.027(0.09) = 4^(log0.3^2(0.3^3)=4^3/2= 2^3=8
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сильно не пинайте,если что,но мне кажется,что правильно решил 5 первый заданий
6)(1/log2(3/4)) * (log2(9) - 4) - log16(64) = (1/log2(3/4))*log2(3/4) - log2^4(2^6) = -6/4 =-3/2=-1.5
7) log2^4/5^4(2/5) + log2^4/5^4(2/7) + log2^4/5^4(3/5) + log2^4/5^4(7/3) = 1/4 + (1/4) * log2/5(2*3*7/(7*5*3)= 1/4+1/4 = 1/2 = 0.5
8) log3(sqrt(log5(4)) + log9(log64(125)) = log9(log5(4) + log9(log4(5)) = log9(log5(4)/log5(4)) = log9(1) = 0
9) 4^(1/log0.027(0.09) = 4^(log0.3^2(0.3^3)=4^3/2= 2^3=8