What is the answer to -3.3*17^{-4v}=-78 ?

The answer to -3.3*17^{-4v}=-78 is v=-(ln(260/11))/(4ln(17))

Solve for v: -3.3*17^{-4v}=-78

The solution is v=-(ln(260/11))/(4ln(17))

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- 3.3 \cdot 1 7^{- 4 v} = - 78

v = - \frac{ln ( \frac{260}{11} )}{4 ln ( 17 )}

Decimal Notation

v = - 0.27908 \dots

Solution steps

- 3.3 \cdot 1 7^{- 4 v} = - 78

Multiply both sides by

10

- 33 \cdot 1 7^{- 4 v} = - 780

Divide both sides by

- 33

1 7^{- 4 v} = \frac{260}{11}

Apply exponent rules

- 4 v ln (17) = ln (\frac{260}{11})

Solve

- 4 v ln (17) = ln (\frac{260}{11}) : v = - \frac{ln ( \frac{260}{11} )}{4 ln ( 17 )}

v = - \frac{ln ( \frac{260}{11} )}{4 ln ( 17 )}

3^{x} + 3^{x + 1} - 36 = 0

22 = e^{x - 3} + e^{- (x - 3)}

4665 6^{2 x - 6} = 3 6^{x - 12}

8 = 10 (1 - e^{\frac{- t}{0.1}})

What is the answer to -3.3*17^{-4v}=-78 ?
The answer to -3.3*17^{-4v}=-78 is v=-(ln(260/11))/(4ln(17))
Solve for v: -3.3*17^{-4v}=-78
The solution is v=-(ln(260/11))/(4ln(17))