1. a
x - любое число, ограничений нет
2. a
27^(x) = 1/3
3^(3x) = 3^(-1)
3x = -1
x = -1/3
3. c
log4 16 = log4 4^2 = 2
4. в
log3 (3log2 8) = log3 (3log2 2^3) = log3 (3*3) = log 3 3^2 = 2
5. в
f'(x) = 3x^2 + 1/2 * x^(-1/2) = 3x^2 + 1/(2 sqrt(x))
6. в
f'(x) = x'*ln7x + x*(ln7x)' = ln7x + x * 7/(7x) = ln7x + 1
7.а