What is the answer to (1/2)^{x^2}=3^x ?

The answer to (1/2)^{x^2}=3^x is x=0,x=-(ln(3))/(ln(2))

Solve for x: (1/2)^{x^2}=3^x

The solution is x=0,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 >

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

x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}

Decimal Notation

x = 0, x = - 1.58496 \dots

Solution steps

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

Apply exponent rules

x^{2} ln (\frac{1}{2}) = x ln (3)

Solve

x^{2} ln (\frac{1}{2}) = x ln (3) : x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}

x = 0, x = - \frac{ln ( 3 )}{ln ( 2 )}

1 6^{x^{2} + 1} = 2^{4 x + 7}

5^{2 x - 1} - 5^{2 x - 3} = 4.8

7 e^{7 x} - e^{- x} = 0

x e^{- x} - 2 e^{- x} = 0

1 = e^{2 x}

What is the answer to (1/2)^{x^2}=3^x ?
The answer to (1/2)^{x^2}=3^x is x=0,x=-(ln(3))/(ln(2))
Solve for x: (1/2)^{x^2}=3^x
The solution is x=0,x=-(ln(3))/(ln(2))