Question

3^x+2-2•3^x+1+3^x=12​

Answer 1

Ответ:

смотри фото

Пошаговое объяснение:

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Answer 2

Let's solve the equation step by step.

The given equation is:

3^(x+2) - 2 * 3^(x+1) + 3^x = 12

We can rewrite the equation using the laws of exponents:

3^x * 3^2 - 2 * 3 * 3^x + 3^x = 12

Now, let's simplify it further:

9 * 3^x - 6 * 3^x + 3^x = 12

Combining like terms:

6 * 3^x + 3^x = 12

We can factor out 3^x from the left side:

(6 + 1) * 3^x = 12

7 * 3^x = 12

Now, let's isolate 3^x by dividing both sides of the equation by 7:

3^x = 12 / 7

To solve for x, we need to take the logarithm of both sides. We can use the natural logarithm (ln) or the logarithm to any other base. Let's use the natural logarithm:

ln(3^x) = ln(12 / 7)

Using the logarithmic property, we can bring down the exponent:

x * ln(3) = ln(12 / 7)

Finally, we can solve for x by dividing both sides by ln(3):

x = ln(12 / 7) / ln(3)

Calculating this expression will give you the approximate value of x.