What is the answer to 8*3^{x+1}+3^{x+1}=1 ?

The answer to 8*3^{x+1}+3^{x+1}=1 is x=-3

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8*3^{x+1}+3^{x+1}=1

8 \cdot 3^{x + 1} + 3^{x + 1} = 1

x = - 3

Solution steps

8 \cdot 3^{x + 1} + 3^{x + 1} = 1

Add similar elements:

8 \cdot 3^{x + 1} + 3^{x + 1} = 9 \cdot 3^{x + 1}

9 \cdot 3^{x + 1} = 1

Divide both sides by

9

3^{x + 1} = \frac{1}{9}

Apply exponent rules

x + 1 = - 2

Solve

x + 1 = - 2 : x = - 3

x = - 3

24 \cdot 2^{- 0.014 x} = 6

5^{x + 2} = 5^{6}

5^{x + 2} = 5^{9}

1 0^{- 10 c} = 1 0^{c^{2} + 25}

3^{x} = 9^{x - 2}

What is the answer to 8*3^{x+1}+3^{x+1}=1 ?
The answer to 8*3^{x+1}+3^{x+1}=1 is x=-3
Solve for x: 8*3^{x+1}+3^{x+1}=1
The solution is x=-3