What is the answer to 4^{3x-5}= 1/256 ?

The answer to 4^{3x-5}= 1/256 is x= 1/3

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4^{3x-5}= 1/256

4^{3 x - 5} = \frac{1}{256}

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

4^{3 x - 5} = \frac{1}{256}

Apply exponent rules

3 x - 5 = - 4

Solve

3 x - 5 = - 4 : x = \frac{1}{3}

x = \frac{1}{3}

3000 = 3 \cdot 1 0^{x}

x, e^{- I n x} = 0.2

x, c = e^{x} + x y - y^{2}

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

3^{x + 1} + 3^{2 - x} = 28