а) log 2√2 по основанию 1/2 = log(2√2) / log(1/2) = log(2) + log(√2) / log(1/2) = log(2) + 0.5log(2) = 1.5log(2) = log(2^1.5) = log(√2^3) = 3/2

б) log по основанию 0.1 5+log 2 по основанию 0.1 = log(5) / log(0.1) + log(2) / log(0.1) = log(5) / log(10^-1) + log(2) / log(10^-1) = log(5) (-1) + log(2) (-1) = -log(5) - log(2)

в) 21 log по основанию 10 3+1/2 log 0.81 по основанию 10 = 21log10(3) + 0.5log10(0.81) = 21log10(3) + 0.5log10(0.9^2) = 21log10(3) + 0.52log10(0.9) = 21log10(3) + log10(0.9) = log10(3^21 0.9) = log10(3^21 9/10) = log10(3^21 9) / 10 = log10(3^21 * 3^2) / 10 = log10(3^23) / 10 = 23 / 10 = 2.3