What is the answer to 5*2^{-3t}=45 ?

The answer to 5*2^{-3t}=45 is t=-(2ln(3))/(3ln(2))

Solve for t: 5*2^{-3t}=45

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

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5 \cdot 2^{- 3 t} = 45

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

Solution steps

5 \cdot 2^{- 3 t} = 45

Divide both sides by

5

2^{- 3 t} = 9

Apply exponent rules

- 3 t ln (2) = ln (9)

Solve

- 3 t ln (2) = ln (9) : t = - \frac{2 ln ( 3 )}{3 ln ( 2 )}

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

e^{5 x} = 6 e^{x}

e^{(x + 1)^{2}} = 9

0.793 7^{x} = \frac{1.25}{10}

x, 4 = y^{2 x}

3^{4 x + 5} = 8 1^{- \frac{3}{4}}

What is the answer to 5*2^{-3t}=45 ?
The answer to 5*2^{-3t}=45 is t=-(2ln(3))/(3ln(2))
Solve for t: 5*2^{-3t}=45
The solution is t=-(2ln(3))/(3ln(2))