What is the answer to 20000=400(4^t) ?

The answer to 20000=400(4^t) is t=(ln(50))/(2ln(2))

Solve for t: 20000=400(4^t)

The solution is t=(ln(50))/(2ln(2))

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20000 = 400 (4^{t})

t = \frac{ln ( 50 )}{2 ln ( 2 )}

Decimal Notation

t = 2.82192 \dots

Solution steps

20000 = 400 (4^{t})

Switch sides

400 \cdot 4^{t} = 20000

Divide both sides by

400

4^{t} = 50

Apply exponent rules

t ln (4) = ln (50)

Solve

t ln (4) = ln (50) : t = \frac{ln ( 50 )}{2 ln ( 2 )}

t = \frac{ln ( 50 )}{2 ln ( 2 )}

x^{3} + 3 x^{2} - 4 x - 12 = 0

r, V = \frac{4}{3} π r^{3}

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

6 x^{5} - 4 x^{4} - 6 x + 4 = 0

x^{3} + 27 = 0

What is the answer to 20000=400(4^t) ?
The answer to 20000=400(4^t) is t=(ln(50))/(2ln(2))
Solve for t: 20000=400(4^t)
The solution is t=(ln(50))/(2ln(2))