What is the answer to 4^x+2^x=12 ?

The answer to 4^x+2^x=12 is x=(ln(3))/(ln(2))

Solve for x: 4^x+2^x=12

The solution is x=(ln(3))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4^{x} + 2^{x} = 12

x = \frac{ln ( 3 )}{ln ( 2 )}

Decimal Notation

x = 1.58496 \dots

Solution steps

4^{x} + 2^{x} = 12

Apply exponent rules

(2^{x})^{2} + 2^{x} = 12

Rewrite the equation with

2^{x} = u

(u)^{2} + u = 12

Solve

u^{2} + u = 12 : u = 3, u = - 4

u = 3, u = - 4

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 3 : x = \frac{ln ( 3 )}{ln ( 2 )}

Solve

2^{x} = - 4 :

No Solution for

x \in R

x = \frac{ln ( 3 )}{ln ( 2 )}

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

8^{3 x - 5} = 3 2^{2 x + 3}

3 2^{x} = (\frac{1}{128})^{x - 8}

2^{60} = 1 6^{x}

2^{x + 2} + 2^{x - 1} = 18

What is the answer to 4^x+2^x=12 ?
The answer to 4^x+2^x=12 is x=(ln(3))/(ln(2))
Solve for x: 4^x+2^x=12
The solution is x=(ln(3))/(ln(2))