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

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

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

The solution is t=(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{t}{3}}

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

Decimal Notation

t = 26.89735 \dots

Solution steps

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

Switch sides

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

Divide both sides by

100

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

Apply exponent rules

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

Solve

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

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

12 8^{9} = 2^{x}

1 0^{4 x - 6} = 9^{8 x - 9}

7^{x - 2} = 1

5^{x} - 5^{5} - x = 150

x, 2^{x} \cdot 3^{y} = 12

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