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

The answer to (1/2)^x=3 is x=-(ln(3))/(ln(2))

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

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 >

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

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

Decimal Notation

x = - 1.58496 \dots

Solution steps

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

Apply exponent rules

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

Solve

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

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

2 e^{x} - 3 e^{- 3 x} = 0

9^{5 - 3 x} = (\frac{1}{3})^{x - 1}

2 5^{a - 3} = 125

5 (5^{2 x}) + 14 (5^{x}) - 3 = 0

2 = 1.062 5^{t}