What is the answer to 500=2000*(2^{-0.1x}) ?

The answer to 500=2000*(2^{-0.1x}) is x=20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

500=2000*(2^{-0.1x})

500 = 2000 \cdot (2^{- 0.1 x})

x = 20

Solution steps

500 = 2000 (2^{- 0.1 x})

Switch sides

2000 \cdot 2^{- 0.1 x} = 500

Divide both sides by

2000

2^{- 0.1 x} = \frac{1}{4}

Apply exponent rules

- 0.1 x = - 2

Solve

- 0.1 x = - 2 : x = 20

x = 20

5^{x + 1} + 5^{x - 2} + 5^{x - 1} = 131

4^{3 x + 5} = 6 4^{x} \cdot 4^{5}

b^{y} = c

2^{x - 1} = 5^{1 - 2 x}

8 = 4^{x - 2}

What is the answer to 500=2000*(2^{-0.1x}) ?
The answer to 500=2000*(2^{-0.1x}) is x=20
Solve for x: 500=2000*(2^{-0.1x})
The solution is x=20