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

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

Solve for x: 2^x= 1/3

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 >

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

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

Decimal Notation

x = - 1.58496 \dots

Solution steps

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

Apply exponent rules

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

Solve

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

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

7 e^{13 x} = 20

8^{3 x} = \frac{1}{256}

3^{x} = 9

450000 = 200000 (1.2)^{x}

2^{2 x} + 2^{x + 1} - 15 = 0