What is the answer to 4*5^{-6t}=2000 ?

The answer to 4*5^{-6t}=2000 is t=-(ln(500))/(6ln(5))

Solve for t: 4*5^{-6t}=2000

The solution is t=-(ln(500))/(6ln(5))

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4 \cdot 5^{- 6 t} = 2000

t = - \frac{ln ( 500 )}{6 ln ( 5 )}

Decimal Notation

t = - 0.64355 \dots

Solution steps

4 \cdot 5^{- 6 t} = 2000

Divide both sides by

4

5^{- 6 t} = 500

Apply exponent rules

- 6 t ln (5) = ln (500)

Solve

- 6 t ln (5) = ln (500) : t = - \frac{ln ( 500 )}{6 ln ( 5 )}

t = - \frac{ln ( 500 )}{6 ln ( 5 )}

x^{\frac{2}{l o g _{x} ( 2 x )}} = 2

4 e^{- t} + t = 0

2^{x} \cdot 8 = 4^{x + 1}

7^{3 x - 2} = 1 0^{2 x}

2 5^{x + 3} = 12 5^{x}

What is the answer to 4*5^{-6t}=2000 ?
The answer to 4*5^{-6t}=2000 is t=-(ln(500))/(6ln(5))
Solve for t: 4*5^{-6t}=2000
The solution is t=-(ln(500))/(6ln(5))