What is the answer to 6^x= 10/3-6^{-x} ?

The answer to 6^x= 10/3-6^{-x} is x=(ln(3))/(ln(6)),x=-(ln(3))/(ln(6))

Solve for x: 6^x= 10/3-6^{-x}

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

6^{x} = \frac{10}{3} - 6^{- x}

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

Solution steps

6^{x} = \frac{10}{3} - 6^{- x}

Apply exponent rules

6^{x} = \frac{10}{3} - (6^{x})^{- 1}

Rewrite the equation with

6^{x} = u

u = \frac{10}{3} - (u)^{- 1}

Solve

u = \frac{10}{3} - u^{- 1} : u = 3, u = \frac{1}{3}

u = 3, u = \frac{1}{3}

Substitute back

u = 6^{x},

solve for

x

Solve

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

Solve

6^{x} = \frac{1}{3} : x = - \frac{ln ( 3 )}{ln ( 6 )}

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

65 = 1 7^{x}

2^{x} = - 16

e^{6 x} - 4 e^{3 x} + 4 = 0

400 = 100 (1 + 2337)^{X}

8^{3^{2 x}} = 51 2^{3^{x}}

What is the answer to 6^x= 10/3-6^{-x} ?
The answer to 6^x= 10/3-6^{-x} is x=(ln(3))/(ln(6)),x=-(ln(3))/(ln(6))
Solve for x: 6^x= 10/3-6^{-x}
The solution is x=(ln(3))/(ln(6)),x=-(ln(3))/(ln(6))