What is the answer to -4.5e^{-0.3x}+9e^{-0.6x}=0 ?

The answer to -4.5e^{-0.3x}+9e^{-0.6x}=0 is x=(2ln(3)-ln(4.5))/(0.3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-4.5e^{-0.3x}+9e^{-0.6x}=0

- 4.5 e^{- 0.3 x} + 9 e^{- 0.6 x} = 0

x = \frac{2 ln ( 3 ) - ln ( 4.5 )}{0.3}

Decimal Notation

x = 2.31049 \dots

Solution steps

- 4.5 e^{- 0.3 x} + 9 e^{- 0.6 x} = 0

Add

4.5 e^{- 0.3 x}

to both sides

- 4.5 e^{- 0.3 x} + 9 e^{- 0.6 x} + 4.5 e^{- 0.3 x} = 0 + 4.5 e^{- 0.3 x}

Simplify

9 e^{- 0.6 x} = 4.5 e^{- 0.3 x}

Apply exponent rules

ln (9) - 0.6 x = ln (4.5) - 0.3 x

Solve

ln (9) - 0.6 x = ln (4.5) - 0.3 x : x = \frac{2 ln ( 3 ) - ln ( 4.5 )}{0.3}

x = \frac{2 ln ( 3 ) - ln ( 4.5 )}{0.3}

5 e^{- 3 x} - 4 = 6

\frac{1}{8 1 ^{(x - 2)}} = 2 7^{(1 - x)}

e^{12 x - 1} = (e^{10})^{x}

3^{x} + x = 11

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

What is the answer to -4.5e^{-0.3x}+9e^{-0.6x}=0 ?
The answer to -4.5e^{-0.3x}+9e^{-0.6x}=0 is x=(2ln(3)-ln(4.5))/(0.3)