What is the answer to 2^{x+3}*2^{-3x+3}=2 ?

The answer to 2^{x+3}*2^{-3x+3}=2 is x= 5/2

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2^{x+3}*2^{-3x+3}=2

2^{x + 3} \cdot 2^{- 3 x + 3} = 2

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

2^{x + 3} \cdot 2^{- 3 x + 3} = 2

Apply exponent rules

- 2 x + 6 = 1

Solve

- 2 x + 6 = 1 : x = \frac{5}{2}

x = \frac{5}{2}

2 7^{x} = \frac{1}{3}

3^{x - 1} = 2

3 = 4^{x}

2 e^{x} + 3 e^{- x} = 7

8^{x} = \frac{1}{2}

What is the answer to 2^{x+3}*2^{-3x+3}=2 ?
The answer to 2^{x+3}*2^{-3x+3}=2 is x= 5/2
Solve for x: 2^{x+3}*2^{-3x+3}=2
The solution is x= 5/2