What is the answer to 2^{-100x}=0.5^{x-4} ?

The answer to 2^{-100x}=0.5^{x-4} is x=-4/99

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2^{-100x}=0.5^{x-4}

2^{- 100 x} = 0. 5^{x - 4}

x = - \frac{4}{99}

Decimal Notation

x = - 0.04040 \dots

Solution steps

2^{- 100 x} = 0. 5^{x - 4}

2^{- 100 x} = (\frac{1}{2})^{x - 4}

Apply exponent rules

- 100 x = - (x - 4)

Solve

- 100 x = - (x - 4) : x = - \frac{4}{99}

x = - \frac{4}{99}

3 + 2 e^{- x} = 6

5 - 1 0^{2 x} = 0

(2.79)^{x - 1} = 3.37 7^{x}

360 e^{- 0.06 t} = 240 e^{0.04 t}

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

What is the answer to 2^{-100x}=0.5^{x-4} ?
The answer to 2^{-100x}=0.5^{x-4} is x=-4/99
Solve for x: 2^{-100x}=0.5^{x-4}
The solution is x=-4/99