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

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

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

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

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

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

Decimal Notation

t = 26.89735 \dots

Solution steps

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 )}

\frac{- 9}{- 24} = e^{- 0.3 t}

4^{2 x} = 8^{2 x - 1}

(\frac{1}{3})^{3 x} = 2 7^{x - 1}

6^{x + 2} = 21

18 = 5 e^{x + 3}

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