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Автор - suhankindanil2

Помогите друже , нужна ваша помощь ! С баллами не обижу , нужна решить 4мя способами , заранее спасибо .

Ответ

Автор - qoolebyaqa

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

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