Question

Log 0,7 x <1 решите неравенство ​

Answer 1

Ответ:

log0,7(x) < log0, 7(0,7)

x>0,7

Answer 2

To solve the inequality log(0.7x) < 1, we need to isolate the variable x. Here's the step-by-step solution:

1. Start by rewriting the inequality in exponential form. Recall that log(base b)(x) = y is equivalent to b^y = x. In this case, we have log(0.7x) < 1, so we can rewrite it as 0.7x < 10^1.

2. Simplify the right side of the inequality: 10^1 = 10.

3. Divide both sides of the inequality by 0.7 to isolate x: (0.7x) / 0.7 < 10 / 0.7.

   This simplifies to x < 10 / 0.7.

4. Calculate the right side of the inequality: 10 / 0.7 ≈ 14.2857.

Therefore, the solution to the inequality log(0.7x) < 1 is x < 14.2857.