Question

Lg (5x -12) = lg100 .

Answer 1

Логорифмы убираешь и решаешь как обычное уровнение

Answer 2

To solve the equation lg(5x - 12) = lg 100, we can use the property of logarithms that states that if log base a of x equals log base a of y, then x equals y.

In this case, we have lg(5x - 12) = lg 100. Since both sides have the same base (logarithm base 10), we can equate the arguments inside the logarithms:

5x - 12 = 100

Now we can solve for x:

5x = 100 + 12 5x = 112

Dividing both sides of the equation by 5:

x = 112/5 x = 22.4

Therefore, the solution to the equation lg(5x - 12) = lg 100 is x = 22.4.