To solve this equation, we can start by using the property of logarithms that states log a + log b = log(ab).
Therefore, we can rewrite the equation as:
log 25(x^2+6x) = log 25(x^2+126)
By using the property of logarithms, we get:
x^2 + 6x = x^2 + 126
Now, we can simplify the equation by subtracting x^2 from both sides:
6x = 126
Now, divide both sides by 6 to solve for x:
x = 21
Therefore, the solution to the equation is x = 21.
To solve this equation, we can start by using the property of logarithms that states log a + log b = log(ab).
Therefore, we can rewrite the equation as:
log 25(x^2+6x) = log 25(x^2+126)
By using the property of logarithms, we get:
x^2 + 6x = x^2 + 126
Now, we can simplify the equation by subtracting x^2 from both sides:
6x = 126
Now, divide both sides by 6 to solve for x:
x = 21
Therefore, the solution to the equation is x = 21.