Question

А) 3^x<1/3 Б)2^x>1 В) (1/5)^x>=25 Срочно пожалуйста

Answer 1

А) x<0;
б) x>0;
в) x<=-2

Answer 2

А) 3^x < 1/3

To solve the inequality 3^x < 1/3, we can take the logarithm of both sides. Since the base is 3, we will use the logarithm base 3.

Taking the logarithm of both sides, we get:

x * log3(3) < log3(1/3)

Simplifying further:

x < log3(1/3)

Now, let's evaluate the right side of the inequality:

log3(1/3) = log(1/3) / log(3)

Using a calculator, we can find that log(1/3) ≈ -0.477 and log(3) ≈ 0.477.

Therefore, log3(1/3) ≈ -1.

So the solution to the inequality 3^x < 1/3 is:

x < -1.