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}

12 5^{x} = 5

e^{x} + \frac{4}{e ^{x}} = 4

5 (2^{3 x}) = 9

5^{x} = 15

32 = 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