en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2000=1000e^{0.09x}

Solution

2000 = 1000 e^{0.09 x}

Solution

x = \frac{ln ( 2 )}{0.09}

+1

Decimal Notation

x = 7.70163 \dots

Solution steps

2000 = 1000 e^{0.09 x}

Switch sides

1000 e^{0.09 x} = 2000

Divide both sides by

1000

e^{0.09 x} = 2

Apply exponent rules

0.09 x = ln (2)

Solve

0.09 x = ln (2) : x = \frac{ln ( 2 )}{0.09}

x = \frac{ln ( 2 )}{0.09}

Popular Examples

4^{x} = 1 6^{2 x + 9}

(0.1)^{-4x+5}=100

(0.1)^{- 4 x + 5} = 100

1.09 6^{t} = 3.5333

e^{\frac{k}{2}} = a

32 = 4^{x}

Frequently Asked Questions (FAQ)

What is the answer to 2000=1000e^{0.09x} ?
The answer to 2000=1000e^{0.09x} is x=(ln(2))/(0.09)