What is the answer to 36^x-6*6^x=-9 ?

The answer to 36^x-6*6^x=-9 is x=(ln(3))/(ln(6))

Solve for x: 36^x-6*6^x=-9

The solution is x=(ln(3))/(ln(6))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 6^{x} - 6 \cdot 6^{x} = - 9

x = \frac{ln ( 3 )}{ln ( 6 )}

Decimal Notation

x = 0.61314 \dots

Solution steps

3 6^{x} - 6 \cdot 6^{x} = - 9

Apply exponent rules

(6^{x})^{2} - 6^{x} \cdot 6^{1} = - 9

Rewrite the equation with

6^{x} = u

(u)^{2} - u \cdot 6^{1} = - 9

Solve

u^{2} - u \cdot 6^{1} = - 9 : u = 3

u = 3

Substitute back

u = 6^{x},

solve for

x

Solve

6^{x} = 3 : x = \frac{ln ( 3 )}{ln ( 6 )}

x = \frac{ln ( 3 )}{ln ( 6 )}

2^{3 x - 1} \cdot 4^{2 x + 3} = 8^{3 - x}

3^{5 x} 9^{x^{2}} = 27

3^{2 x} = 1

3^{x + \frac{1}{2}} \times 3^{x - 2} = 1

3^{4 x} = 7^{2 - 5 x}

What is the answer to 36^x-6*6^x=-9 ?
The answer to 36^x-6*6^x=-9 is x=(ln(3))/(ln(6))
Solve for x: 36^x-6*6^x=-9
The solution is x=(ln(3))/(ln(6))