Question

1/lgx+1+как решить помогите

Answer 1

Lg10+lg(x+1)=lg(x^3+7x+8)
10(x+1)=x^3+7x+8
x^3-3x-2=0
(x-2)(x+1)^2=0
х=-1 пост. корень, т. к. ОДЗ х>-1
x=2

Answer 2

Solving the Equation 1/lg(x) + 1 = 11

To solve the equation 1/lg(x) + 1 = 11, we need to isolate the variable x. Let's go through the steps:

Step 1: Subtract 1 from both sides of the equation: 1/lg(x) = 11 - 1

Simplifying the right side: 1/lg(x) = 10

Step 2: Take the reciprocal of both sides of the equation: lg(x) = 1/10

Step 3: Convert the equation to exponential form: x = 10^(1/10)

Using a calculator, we can evaluate the right side of the equation: x ≈ 1.25892541179

Therefore, the approximate solution to the equation 1/lg(x) + 1 = 11 is x ≈ 1.25892541179.