If the approximate solution of the equation lgx = 3-x is x = x0 ∈ (k, K + 1), K ∈ Z, then k = 0___ ．

If the approximate solution of the equation lgx = 3-x is x = x0 ∈ (k, K + 1), K ∈ Z, then k = 0___ ．

Let f (x) = lgx-3 + X, then the approximate solution of the equation lgx = 3-x is x = x0 & nbsp; ∈ (k, K + 1), K ∈ Z, that is, the zero point of function f (x) is on (k, K + 1), K ∈ Z, ∵ f (2) = lg2-3 + 2 ＜ 0, f (3) = lg3-3 + 3 ＞ 0, and the zero point of function f (x) is on (2, 3), so the answer is 2

If the original price of a yuan is reduced by 10% for two consecutive times, the price of the commodity is______ Yuan

After the first reduction of 10%, the price is a × (1-10%) yuan. After the second reduction, the price is a × (1-10%) × (1-10%) = a (1-10%) 2 yuan

Let the solution of the equation 2lnx = 7-2x be x0, then the largest integer solution of the inequality X-2 < x0 about X is______ ．

The solution of ∵ equation 2inx = 7-2x is x0, x0 is a function, the zero point of function y = 2inx-7 + 2x is monotonically increasing in its domain of definition, and y = 7-2x is monotonically decreasing in its domain of definition, so the function y = 2inx-7 + 2x has at most one zero point from F (2) = 2in2-7 + 2 × 2 ＜ 0f (3) = 2in3-7 + 2 × 3 ＞ 0

If the price of a commodity is 486 yuan after two successive price reductions of 10%, the price before the price reduction is 486 yuan______ Yuan

Suppose that the price before the price reduction is x yuan. From the meaning of the question, we get x × (1-10%) 2 = 486, and the solution is x = 600

Let the solution of the equation 2lnx = 7-2x be x0, then the inequality X-2 about X

4
You can roughly draw y = LNX and y = 3.5-x on the coordinate paper
And we know that the intersection is in the range of [2.7,3]
So 2.7

The original price of a kind of goods is 100 yuan. After the price has been reduced by 10% twice in a row, the current price is 100 yuan
There has to be an explanation

100*(100%-10%)*(100%-10%)=81

Let the solution of the equation 2lnx = 7-2x be x0, then the largest integer solution of the inequality X-2 < x0 about X is______ ．

The solution of ∵ equation 2inx = 7-2x is x0, x0 is a function, the zero point of function y = 2inx-7 + 2x is monotonically increasing in its domain of definition, and y = 7-2x is monotonically decreasing in its domain of definition, so the function y = 2inx-7 + 2x has at most one zero point from F (2) = 2in2-7 + 2 × 2 ＜ 0f (3) = 2in3-7 + 2 × 3 ＞ 0

If the price of a commodity is 486 yuan after two successive price reductions of 10%, the price before the price reduction is 486 yuan______ Yuan

Suppose that the price before the price reduction is x yuan. From the meaning of the question, we get x × (1-10%) 2 = 486, and the solution is x = 600

Let the solution of the equation 2lnx = 7-x be x0, then the inequality X-2 about X

Let f (x) = 2lnx + X-7, because both Y1 = 2lnx and y2 = X-7 are increasing functions in the domain x ＞ 0, so f (x) = Y1 + y2 = 2lnx + X-7 is increasing function in the domain x ＞ 0, and f (4) = 2ln4 + 4-7 = 2ln4-3 ＜ 0f (5) = 2ln5 + 5-7 = 2ln5-2 ＞ 0, so 4 ＜ x0 ＜ 5 get x ＜ 2 + x0 from X-2 ＜ x0, so the maximum integer solution is x =

If the price of a commodity is 486 yuan after two successive price reductions of 10%, the price before the price reduction is 486 yuan______ Yuan

Suppose that the price before the price reduction is x yuan. From the meaning of the question, we get x × (1-10%) 2 = 486, and the solution is x = 600