What is the answer to -4.4*17^{-4x}=-78 ?

The answer to -4.4*17^{-4x}=-78 is x=-(ln(195/11))/(4ln(17))

Solve for x: -4.4*17^{-4x}=-78

The solution is x=-(ln(195/11))/(4ln(17))

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- 4.4 \cdot 1 7^{- 4 x} = - 78

x = - \frac{ln ( \frac{195}{11} )}{4 ln ( 17 )}

Decimal Notation

x = - 0.25369 \dots

Solution steps

- 4.4 \cdot 1 7^{- 4 x} = - 78

Multiply both sides by

10

- 44 \cdot 1 7^{- 4 x} = - 780

Divide both sides by

- 44

1 7^{- 4 x} = \frac{195}{11}

Apply exponent rules

- 4 x ln (17) = ln (\frac{195}{11})

Solve

- 4 x ln (17) = ln (\frac{195}{11}) : x = - \frac{ln ( \frac{195}{11} )}{4 ln ( 17 )}

x = - \frac{ln ( \frac{195}{11} )}{4 ln ( 17 )}

7^{5 x + 4} = 21

3^{4^{x + 3}} = 3^{1 6^{2 x - 5}}

110624.8 = 55000 \cdot (1.15)^{x}

3^{x - x^{2}} = \frac{1}{9 ^{x}}

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

What is the answer to -4.4*17^{-4x}=-78 ?
The answer to -4.4*17^{-4x}=-78 is x=-(ln(195/11))/(4ln(17))
Solve for x: -4.4*17^{-4x}=-78
The solution is x=-(ln(195/11))/(4ln(17))