What is the answer to 11*3^{x/2}=1 ?

The answer to 11*3^{x/2}=1 is x=-(2ln(11))/(ln(3))

Solve for x: 11*3^{x/2}=1

The solution is x=-(2ln(11))/(ln(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11 \cdot 3^{\frac{x}{2}} = 1

x = - \frac{2 ln ( 11 )}{ln ( 3 )}

Decimal Notation

x = - 4.36531 \dots

Solution steps

11 \cdot 3^{\frac{x}{2}} = 1

Divide both sides by

11

3^{\frac{x}{2}} = \frac{1}{11}

Apply exponent rules

\frac{x}{2} ln (3) = ln (\frac{1}{11})

Solve

\frac{x}{2} ln (3) = ln (\frac{1}{11}) : x = - \frac{2 ln ( 11 )}{ln ( 3 )}

x = - \frac{2 ln ( 11 )}{ln ( 3 )}

1 0^{x + 1} = 1 0^{2}

e^{3 x} = 16

e^{3 x} = 17

e^{3 x} = 11

e^{3 x} = 32

What is the answer to 11*3^{x/2}=1 ?
The answer to 11*3^{x/2}=1 is x=-(2ln(11))/(ln(3))
Solve for x: 11*3^{x/2}=1
The solution is x=-(2ln(11))/(ln(3))