Пошаговое объяснение:
1)Log5(4 + x) = 3
ODZ: 4+х > 0
x>-4
x+4 = 5^3
x + 4 = 125
x= 121
2)Log8(-5-x) = 1
ODZ: -5-x>0
x<-5
-5-x = 8^1
-x = 13
x = -13
3)Log7(1+x)=2
ODZ: 1 + x>0
x>-1
1+x = 7^2
x=48
4)Log3(3x+1) = -2
ODZ: 3x + 1>0
3x>-1
x>(-1/3)
3x+1 = 3^(-2)
3x = (1/9)-1
x = (-8/27)
5)Log2(3-2x) = -3
ODZ: 3-2x>0
2x < 3
x<1.5
3-2x = 2^(-3)
-2x = (1/8) - 3
x = (23/16)
Пошаговое объяснение:
1)Log5(4 + x) = 3
ODZ: 4+х > 0
x>-4
x+4 = 5^3
x + 4 = 125
x= 121
2)Log8(-5-x) = 1
ODZ: -5-x>0
x<-5
-5-x = 8^1
-x = 13
x = -13
3)Log7(1+x)=2
ODZ: 1 + x>0
x>-1
1+x = 7^2
x=48
4)Log3(3x+1) = -2
ODZ: 3x + 1>0
3x>-1
x>(-1/3)
3x+1 = 3^(-2)
3x = (1/9)-1
x = (-8/27)
5)Log2(3-2x) = -3
ODZ: 3-2x>0
2x < 3
x<1.5
3-2x = 2^(-3)
-2x = (1/8) - 3
x = (23/16)