What is the answer to 3^{3x}*6^x= 1/2916 ?

The answer to 3^{3x}*6^x= 1/2916 is x=-(2ln(54))/(ln(162))

Solve for x: 3^{3x}*6^x= 1/2916

The solution is x=-(2ln(54))/(ln(162))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{3 x} \cdot 6^{x} = \frac{1}{2916}

x = - \frac{2 ln ( 54 )}{ln ( 162 )}

Decimal

x = - 1.56812 \dots

Solution steps

3^{3 x} \cdot 6^{x} = \frac{1}{2916}

Apply exponent rules

(3 x + lo g_{3} (6) x) ln (3) = ln (\frac{1}{2916})

Solve

(3 x + lo g_{3} (6) x) ln (3) = ln (\frac{1}{2916}) : x = - \frac{2 ln ( 54 )}{ln ( 162 )}

x = - \frac{2 ln ( 54 )}{ln ( 162 )}

5 \cdot 2^{x + 3} = \frac{5}{4}

9^{2 x + 1} = 729

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

7^{x} = \frac{1}{343}

\frac{17}{327} = e^{- 9.22 \times 1 0^{- 4} t}

What is the answer to 3^{3x}*6^x= 1/2916 ?
The answer to 3^{3x}*6^x= 1/2916 is x=-(2ln(54))/(ln(162))
Solve for x: 3^{3x}*6^x= 1/2916
The solution is x=-(2ln(54))/(ln(162))