What is the answer to 40000=2^t*100 ?

The answer to 40000=2^t*100 is t=(2ln(20))/(ln(2))

Solve for t: 40000=2^t*100

The solution is t=(2ln(20))/(ln(2))

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40000 = 2^{t} \cdot 100

t = \frac{2 ln ( 20 )}{ln ( 2 )}

Decimal Notation

t = 8.64385 \dots

Solution steps

40000 = 2^{t} \cdot 100

Switch sides

2^{t} \cdot 100 = 40000

Divide both sides by

100

2^{t} = 400

Apply exponent rules

t ln (2) = ln (400)

Solve

t ln (2) = ln (400) : t = \frac{2 ln ( 20 )}{ln ( 2 )}

t = \frac{2 ln ( 20 )}{ln ( 2 )}

2 e^{4 x} + 7 = 12

n, (1 - 0.99)^{n} = 0.01

3^{b} = 93

9^{x} - 28 \cdot 3^{x - 1} + 3 = 0

9^{k - 2} \cdot 81 = 9^{2 k}

What is the answer to 40000=2^t*100 ?
The answer to 40000=2^t*100 is t=(2ln(20))/(ln(2))
Solve for t: 40000=2^t*100
The solution is t=(2ln(20))/(ln(2))