1) Log4 32 - log4 1/= Log4 (32 / 1/2= Log4 6= 3
а) 2^(3x-2) = 62^(3x-2) = 2^3x-2 = 3x = x = 8/3
б) log3(x-5) + log3 x = log3 log3((x-5)x) = log3 (x-5)x = x^2 - 5x - 6 = (x-6)(x+1) = x = 6 or x = -1
начальное уравнение: x > -5/4) log0.3(2x+5)<2x + 5 < 0.3^2x + 5 < 0.02x < -4.9x < -2.455
1) Log4 32 - log4 1/
= Log4 (32 / 1/2
= Log4 6
= 3
а) 2^(3x-2) = 6
2^(3x-2) = 2^
3x-2 =
3x =
x = 8/3
б) log3(x-5) + log3 x = log3
log3((x-5)x) = log3
(x-5)x =
x^2 - 5x - 6 =
(x-6)(x+1) =
x = 6 or x = -1
начальное уравнение: x > -5/
4) log0.3(2x+5)<
2x + 5 < 0.3^
2x + 5 < 0.0
2x < -4.9
x < -2.455