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

The answer to 1/(4^{-x)}= 1/2 is x=-1/2

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1/(4^{-x)}= 1/2

\frac{1}{4 ^{- x}} = \frac{1}{2}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{1}{4 ^{- x}} = \frac{1}{2}

Apply exponent rules

2 x = - 1

Solve

2 x = - 1 : x = - \frac{1}{2}

x = - \frac{1}{2}

Verify Solutions:

x = - \frac{1}{2}

True

The solution is

x = - \frac{1}{2}

8^{x + 2} = 32

343 = 7 2^{x + 2}

x, x^{x} = y^{y}

1 6^{2 + x + 1} = 64

- 3 e^{3 x} x - e^{3 x} = 0