Question

Heeeeelp 3^x - 3^(x+3) = -78

Answer 1

3^(x+3) = 3^x * 27

Получаем 3^x(1-27)=-78

3^x=3

x=1

Ответ: 1

Answer 2

Sure, I'd be happy to help you solve the equation 3^x - 3^(x+3) = -78.

To solve this equation, we can start by simplifying the left-hand side (LHS) of the equation:

3^x - 3^(x+3)

Now, recall that 3^(x+3) is the same as 3^x * 3^3 because of the exponent rule that states a^(m+n) = a^m * a^n. And 3^3 is equal to 27:

3^x - 27 * 3^x

Now, we can factor out a common term of 3^x:

3^x(1 - 27) = -78

Next, simplify the equation further:

-26 * 3^x = -78

Now, divide both sides of the equation by -26:

3^x = -78 / (-26)

3^x = 3

Now, the equation is in a form that we can solve easily. Since 3^1 is equal to 3, we have:

x = 1

So, the solution to the equation is x = 1. You can verify this by substituting x with 1 in the original equation to see if both sides are equal.