What is the answer to 2^{(t/2)}100=40000 ?

The answer to 2^{(t/2)}100=40000 is t=(4ln(20))/(ln(2))

Solve for t: 2^{(t/2)}100=40000

The solution is t=(4ln(20))/(ln(2))

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2^{(\frac{t}{2})} 100 = 40000

t = \frac{4 ln ( 20 )}{ln ( 2 )}

Decimal Notation

t = 17.28771 \dots

Solution steps

2^{(\frac{t}{2})} \cdot 100 = 40000

Divide both sides by

100

2^{\frac{t}{2}} = 400

Apply exponent rules

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

Solve

\frac{t}{2} ln (2) = ln (400) : t = \frac{4 ln ( 20 )}{ln ( 2 )}

t = \frac{4 ln ( 20 )}{ln ( 2 )}

2^{x} = - \frac{1}{4}

9^{5 x} = 2 7^{2 x - 4}

2^{x} \cdot 5^{x} = 20

4^{x + 4} = 7^{x}

2^{4 x + 1} + 3 = 7 \cdot 4^{x}

What is the answer to 2^{(t/2)}100=40000 ?
The answer to 2^{(t/2)}100=40000 is t=(4ln(20))/(ln(2))
Solve for t: 2^{(t/2)}100=40000
The solution is t=(4ln(20))/(ln(2))