What is the answer to sqrt(4^{-2x+6)}= 1/8 ?

The answer to sqrt(4^{-2x+6)}= 1/8 is x= 9/2

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sqrt(4^{-2x+6)}= 1/8

4^{- 2 x + 6} = \frac{1}{8}

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

4^{- 2 x + 6} = \frac{1}{8}

Apply exponent rules

- 2 x + 6 = - 3

Solve

- 2 x + 6 = - 3 : x = \frac{9}{2}

x = \frac{9}{2}

2^{n} = 1000000

2^{2 x} + 2^{- 2 x} = 23

9^{x} = 12 \cdot 3^{x} - 27

2^{x} = 2 x

2^{x} = 81

What is the answer to sqrt(4^{-2x+6)}= 1/8 ?
The answer to sqrt(4^{-2x+6)}= 1/8 is x= 9/2
Solve for x: sqrt(4^{-2x+6)}= 1/8
The solution is x= 9/2