Question

Log4 (х^2+х)=лог4 (х^2+9)​

Answer 1

Ответ:

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Answer 2

To solve the equation log₄(x² + x) = log₄(x² + 9), you can use the properties of logarithms. The key property we'll use here is that if two logarithms with the same base are equal, then their arguments must also be equal. In this case, the base is 4. So, we can set the arguments equal to each other:

x² + x = x² + 9

Now, you can solve for x:

x² + x - (x² + 9) = 0

Now, simplify the equation:

x² + x - x² - 9 = 0

The x² terms cancel out:

x - 9 = 0

Add 9 to both sides of the equation:

x = 9

So, the solution to the equation log₄(x² + x) = log₄(x² + 9) is x = 9.