Question

9^x-3^2x-2=72 (12 баллов)

Answer 1

9^x-3^2x-2=72⇒9^x-9^x=72+2=74 - не имеет решения, так как при любом х имеем нуль.

Ответ: нет решений.

Answer 2

To solve the equation $9^x - 3^{2x} - 2 = 72$, we need to find the value of $x$ that satisfies the equation. Let's proceed with the solution step by step:

Step 1: Simplify the equation.

Since $3^{2x} = (3^2)^x = 9^x$, we can rewrite the equation as:

$9^x - 9^x - 2 = 72$

Step 2: Combine like terms.

$0 - 2 = 72$

Step 3: Simplify further.

$-2 = 72$

Step 4: Determine the conclusion.

Since the equation leads to a false statement, there is no value of $x$ that satisfies the equation. In other words, there is no solution to this equation.

Please double-check the original equation to ensure it was copied correctly, or if there were any typos or mistakes in the given equation. If you have any other questions or need further assistance, feel free to ask!