Question

HELP ME lg(2x-6)-1=0

Answer 1

Lg(2x-6)-1=0
ОДЗ: 2x-6>0
         2x>6
         x>3
lg(2x-6)=1
lg(2x-6)=lg10
2x-6=10
2x=16
x=8 >3
Ответ: 8

Answer 2

Sure, I can help you solve the equation lg(2x-6) - 1 = 0.

To solve for x, we need to isolate it on one side of the equation. Here are the steps to do that:

1. Add 1 to both sides of the equation:

   lg(2x-6) = 1

2. Rewrite the equation in exponential form using the definition of logarithms:

   10^1 = 2x - 6

3. Simplify:

   10 = 2x - 6

4. Add 6 to both sides of the equation:

   16 = 2x

5. Divide both sides by 2:

   x = 8

Therefore, the solution to the equation lg(2x-6) - 1 = 0 is x = 8.