en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2e^x-9e^{-3x}=0

Solution

2 e^{x} - 9 e^{- 3 x} = 0

Solution

x = \frac{2 ln ( 3 ) - ln ( 2 )}{4}

+1

Decimal Notation

x = 0.37601 \dots

Solution steps

2 e^{x} - 9 e^{- 3 x} = 0

Add

9 e^{- 3 x}

to both sides

2 e^{x} - 9 e^{- 3 x} + 9 e^{- 3 x} = 0 + 9 e^{- 3 x}

Simplify

2 e^{x} = 9 e^{- 3 x}

Apply exponent rules

ln (2) + x = ln (9) - 3 x

Solve

ln (2) + x = ln (9) - 3 x : x = \frac{2 ln ( 3 ) - ln ( 2 )}{4}

x = \frac{2 ln ( 3 ) - ln ( 2 )}{4}

Popular Examples

(4/3)^{1-x}=5^x

(\frac{4}{3})^{1 - x} = 5^{x}

95 = 1 1^{x}

5^{3 x} = 2 5^{6}

2^{2x+2}=9(2^x)^{-1}

2^{2 x + 2} = 9 (2^{x})^{- 1}

4^x= 1/(sqrt(2))

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

Frequently Asked Questions (FAQ)

What is the answer to 2e^x-9e^{-3x}=0 ?
The answer to 2e^x-9e^{-3x}=0 is x=(2ln(3)-ln(2))/4