What is the answer to 3.25e^{(0.2)/x}=30.6 ?

The answer to 3.25e^{(0.2)/x}=30.6 is x=(0.2)/(ln(612/65))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3.25e^{(0.2)/x}=30.6

3.25 e^{\frac{0.2}{x}} = 30.6

x = \frac{0.2}{ln ( \frac{612}{65} )}

Decimal Notation

x = 0.08919 \dots

Solution steps

3.25 e^{\frac{0.2}{x}} = 30.6

Multiply both sides by

100

325 e^{\frac{0.2}{x}} = 3060

Divide both sides by

325

e^{\frac{0.2}{x}} = \frac{612}{65}

Apply exponent rules

\frac{0.2}{x} = ln (\frac{612}{65})

Solve

\frac{0.2}{x} = ln (\frac{612}{65}) : x = \frac{0.2}{ln ( \frac{612}{65} )}

x = \frac{0.2}{ln ( \frac{612}{65} )}

4^{x + 1} + 2^{2 x - 1} = 288

2^{4 x - 3} = 8^{x + 2}

3^{2 x - 3} - 5 \cdot 3^{x} + 3 = 0

3^{x} = 243

2^{x + 4} = 32

What is the answer to 3.25e^{(0.2)/x}=30.6 ?
The answer to 3.25e^{(0.2)/x}=30.6 is x=(0.2)/(ln(612/65))