Ответы
Ответ:
Пошаговое объяснение:
x-6=10
x=10+6
x=16
3x+4=4x+1
3x-4x=1-4
-x= -3
x=3
x³+2=10
x³=10-2
x³=8
x=³√8
x=2
1) log₄(60+x)=3
60+x=4³
x=64-60
x=4
2) log₃9=x
x=2
3)log₂(x²+8)=4
x²+8=2⁴
x²=16-8
x²=8
x=±√8=±2√2
4) log₄(x²+11)=2
x²+11=4²
x²=16-11
x²=5
x=±√5
5) log₇x=2
x=7²
x=49
6)log₅(x²+25)=3
x²+25=5³
x²=125-25
x=√100
x=±10
1)
x - 6 = 10
x = 16
2)
3x + 4 = 4x +1
x = 3
3)
x^3 + 2 = 10
x^3 = 8
x = 2
4)
log4(60 + x) = 3
ОДЗ: 60 + x > 0 => x > -60
log4(60 + x) = log4(4^3)
60 + x = 64
x = 4
5)
log3(9) = x
log3(3^2) = x
x = 2
6)
log2(x^2 + 8) = 4
ОДЗ: x^2 + 8 > 0 => x^2 > -8 => x Є R
log2(x^2 + 8) = log2(2^4)
x^2 + 8 = 16
x^2 = 8
x = ±√8 = ±2√2
7)
log6(x^2+11) = 2
ОДЗ: x^2 + 11 > 0 => x^2 > -11 => x Є R
log6(x^2+11) = log6(6^2)
x^2 + 11 = 36
x^2 = 25
x = ±5
8)
log 7(x) = 2
ОДЗ : x>0
x = 7^2
x = 49
9)
log5(x^2+25) = 3
x^2 + 25 = 5^3
x^2 = -25 + 125
x^2 = 100
x = ±10