What is the answer to 15000=2370.56e^{0.04x} ?

The answer to 15000=2370.56e^{0.04x} is x=(ln(46875/7408))/(0.04)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

15000=2370.56e^{0.04x}

15000 = 2370.56 e^{0.04 x}

x = \frac{ln ( \frac{46875}{7408} )}{0.04}

Decimal Notation

x = 46.12309 \dots

Solution steps

15000 = 2370.56 e^{0.04 x}

Switch sides

2370.56 e^{0.04 x} = 15000

Multiply both sides by

100

237056 e^{0.04 x} = 1500000

Divide both sides by

237056

e^{0.04 x} = \frac{46875}{7408}

Apply exponent rules

0.04 x = ln (\frac{46875}{7408})

Solve

0.04 x = ln (\frac{46875}{7408}) : x = \frac{ln ( \frac{46875}{7408} )}{0.04}

x = \frac{ln ( \frac{46875}{7408} )}{0.04}

2^{5 x - 3} = 14

5^{x - 1} = (\frac{1}{25})^{x}

9^{x} = 2 7^{x + 1}

2^{x^{2} - 3} = 4^{x}

2 x + 1 = 2^{x}

What is the answer to 15000=2370.56e^{0.04x} ?
The answer to 15000=2370.56e^{0.04x} is x=(ln(46875/7408))/(0.04)