What is the answer to 50000=100*2^{x/3} ?

The answer to 50000=100*2^{x/3} is x=(3ln(500))/(ln(2))

Solve for x: 50000=100*2^{x/3}

The solution is x=(3ln(500))/(ln(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

50000 = 100 \cdot 2^{\frac{x}{3}}

x = \frac{3 ln ( 500 )}{ln ( 2 )}

Decimal Notation

x = 26.89735 \dots

Solution steps

50000 = 100 \cdot 2^{\frac{x}{3}}

Switch sides

100 \cdot 2^{\frac{x}{3}} = 50000

Divide both sides by

100

2^{\frac{x}{3}} = 500

Apply exponent rules

\frac{x}{3} ln (2) = ln (500)

Solve

\frac{x}{3} ln (2) = ln (500) : x = \frac{3 ln ( 500 )}{ln ( 2 )}

x = \frac{3 ln ( 500 )}{ln ( 2 )}

5^{5 x + 1} = 125

- e^{- x} + 1 = \frac{1}{2}

(\frac{1}{2})^{x} - 1 = 0

2 5^{x + 1} = 12 5^{3 x - 1}

\frac{2}{( 2 ^{x} )} = 29

What is the answer to 50000=100*2^{x/3} ?
The answer to 50000=100*2^{x/3} is x=(3ln(500))/(ln(2))
Solve for x: 50000=100*2^{x/3}
The solution is x=(3ln(500))/(ln(2))