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7^x=1\49
7^x=(7) ^ -²
x= -2
2)
(5)^ -1 * 5² ÷5^-³ =5^x
5^ -1+²
----------- =5^x
5^-³
5^ 1-(-3) =5^x
5^4 =5^x
x=4
3) |2-x| =7
2-x=7
-x=5 /(-1)
x= -5
2-x= -7
-x= -9 /(-1)
x=9 x={-5 ;9}
4)
2√3 \(√3-2) * (√3+2) \(√3+2) =
6+4√3 \ 3-4 =
6+4√3 \ -1 =
-6-4√3=-2(3+2√3)
5)
2*3+√1-2*3+3² \3-1=
6+√1-6+9 \2=
6+√4\2=3+2\2=3+1=4
6)
x²-25 \x+5
x+5=0
x=-5 D=R\{-5}
7)
-x²+3x-2≥0 √Δ=9-4*(-1)*(-2)=9-8=√1=1
x1=-3-1\ -2=2
x2=-3+1\ -2=1
x∈<1;2>