Question

Log³(x³-x)-log³x=log³3​

Answer 1

Ответ:

Ответ на фотографии.....)))))

Answer 2

To solve the equation:

log₃(x³ - x) - log₃(x) = log₃(3)

You can use the properties of logarithms to simplify the equation. Start by using the quotient rule of logarithms, which states that:

logₐ(b) - logₐ(c) = logₐ(b/c)

In your equation, you have:

log₃(x³ - x) - log₃(x) = log₃(3)

So, you can combine the logarithms on the left side of the equation:

log₃[(x³ - x) / x] = log₃(3)

Now, since the bases of the logarithms are the same (base 3), you can drop the logarithms:

(x³ - x) / x = 3

Now, simplify the equation further by dividing both sides by x:

x² - 1 = 3

Next, add 1 to both sides of the equation:

x² = 4

Now, take the square root of both sides to solve for x:

x = ±2

So, the solutions to the equation are x = 2 and x = -2.