What is the answer to 9^x-10(3^x)+9=0 ?

The answer to 9^x-10(3^x)+9=0 is x=2,x=0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9^x-10(3^x)+9=0

9^{x} - 10 (3^{x}) + 9 = 0

x = 2, x = 0

Solution steps

9^{x} - 10 (3^{x}) + 9 = 0

Apply exponent rules

(3^{x})^{2} - 10 \cdot 3^{x} + 9 = 0

Rewrite the equation with

3^{x} = u

(u)^{2} - 10 u + 9 = 0

Solve

u^{2} - 10 u + 9 = 0 : u = 9, u = 1

u = 9, u = 1

Substitute back

u = 3^{x},

solve for

x

Solve

3^{x} = 9 : x = 2

Solve

3^{x} = 1 : x = 0

x = 2, x = 0

1.06 1^{x} = 2

8 1^{x} = \frac{1}{3}

2^{4 x} = 64

9^{x + 2} - 5 = 153

5618 (60) = 206 (2.71)^{k (60)}

What is the answer to 9^x-10(3^x)+9=0 ?
The answer to 9^x-10(3^x)+9=0 is x=2,x=0
Solve for x: 9^x-10(3^x)+9=0
The solution is x=2,x=0