What is the answer to 2.1(1.05)^{-2x}=5.73 ?

The answer to 2.1(1.05)^{-2x}=5.73 is x=-(ln(191/70))/(2ln(1.05))

Solve for x: 2.1(1.05)^{-2x}=5.73

The solution is x=-(ln(191/70))/(2ln(1.05))

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2.1 (1.05)^{- 2 x} = 5.73

x = - \frac{ln ( \frac{191}{70} )}{2 ln ( 1.05 )}

Decimal Notation

x = - 10.28668 \dots

Solution steps

2.1 (1.05)^{- 2 x} = 5.73

Multiply both sides by

100

210 \cdot 1.0 5^{- 2 x} = 573

Divide both sides by

210

1.0 5^{- 2 x} = \frac{191}{70}

Apply exponent rules

- 2 x ln (1.05) = ln (\frac{191}{70})

Solve

- 2 x ln (1.05) = ln (\frac{191}{70}) : x = - \frac{ln ( \frac{191}{70} )}{2 ln ( 1.05 )}

x = - \frac{ln ( \frac{191}{70} )}{2 ln ( 1.05 )}

x, e^{x} - 4 y^{2} = c

2^{x} - 10 (2^{- x}) + 3 = 0

10 e^{5 x} = 80

2^{x^{2 - 1}} = 8

3 - 2 e^{k - x} = 0

What is the answer to 2.1(1.05)^{-2x}=5.73 ?
The answer to 2.1(1.05)^{-2x}=5.73 is x=-(ln(191/70))/(2ln(1.05))
Solve for x: 2.1(1.05)^{-2x}=5.73
The solution is x=-(ln(191/70))/(2ln(1.05))