Автор - suhankindanil2
1. 5^(2x+6)=1 5^(2x+6)=5^0 2x+6=0 2x=-6 x=-3
2. (1/3)^(x^2-5x) - 1 = 0 (1/3)^(x^2-5x) = 1 x^2 - 5x =0 x(x-5)=0 x1=0 x2=5
3. 5^((5-3x) / (x-2) = 25 5^((5-3x) / (x-2) = 5^2 (5-3x)/(x-2) =2 5-3x=2x-4 5x=9 x=9/5
4. 3^(x^2-6x+5) = 3^(-3) x^2-6x+8=0 D=4=2^2 x1=4 x2=-2
5. 2^(x+3) = 2^3 x+3=3 x=0
6. 5^(x-2) = 100 5^x / 5^2 = 100 5^x = 100*5^2 5^x = 2500 x=log5(2500)
7. 3^(x+2) - 3^x = 216 9*3^x - 3^x = 216 3^x * (9-1) = 216 3^x = 216/8=27 x=3
8. 7*5^x + 90 =5^(x+2) 5^x * (7-25) = -90 5^x = -90/-18 5^x = 5 x=1