Question

Решить уравнение Lg (х-3) = 2lg5

Answer 1

Lg(x-3)=2lg5;x-3>0;x>3
lg(x-3)=lg25
x-3=25
x=28
ответ 28

Answer 2

ОДЗ:
x-3>0
x>3

lg(x-3)=lg5^2
x-3=25
x=28

Ответ: 28

Answer 3

To solve the equation lg(x - 3) = 2lg(5), we need to isolate the variable x. In this context, "lg" represents the logarithm with base 10.

Step 1: Simplify the equation using logarithm properties. Recall that log(a^b) = b * log(a). Applying this property to the right side of the equation:

2lg(5) = lg(5^2) = lg(25).

So now the equation becomes:

lg(x - 3) = lg(25).

Step 2: Set the arguments of both logarithms equal to each other. Since the logarithm functions have the same base, their arguments must be equal:

x - 3 = 25.

Step 3: Isolate x by moving -3 to the other side of the equation.

x = 25 + 3.

Step 4: Calculate the value of x.

x = 28.

Therefore, the solution to the equation is x = 28.