What is the answer to 3^x+1/(3^{x+1)}= 28/9 ?

The answer to 3^x+1/(3^{x+1)}= 28/9 is x=1,x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^x+1/(3^{x+1)}= 28/9

3^{x} + \frac{1}{3 ^{x + 1}} = \frac{28}{9}

x = 1, x = - 2

Solution steps

3^{x} + \frac{1}{3 ^{x + 1}} = \frac{28}{9}

Apply exponent rules

3^{x} + (3^{x})^{- 1} \cdot 3^{- 1} = \frac{28}{9}

Rewrite the equation with

3^{x} = u

u + (u)^{- 1} \cdot 3^{- 1} = \frac{28}{9}

Solve

u + u^{- 1} \cdot 3^{- 1} = \frac{28}{9} : u = 3, u = \frac{1}{9}

u = 3, u = \frac{1}{9}

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 3 : x = 1

Solve

3^{x} = \frac{1}{9} : x = - 2

x = 1, x = - 2

Verify Solutions:

x = 1

True

, x = - 2

True

The solutions are

x = 1, x = - 2

1 0^{\frac{x}{4}} = 62

2^{x + 3} + 2^{x + 4} = 96

4^{2 x - 1} = 3^{2 x + 3}

x, x r - e^{x} = 0

8^{x} = \frac{1}{2}

What is the answer to 3^x+1/(3^{x+1)}= 28/9 ?
The answer to 3^x+1/(3^{x+1)}= 28/9 is x=1,x=-2
Solve for x: 3^x+1/(3^{x+1)}= 28/9
The solution is x=1,x=-2