What is the answer to 1.7*6^{-1.7v}-6=8 ?

The answer to 1.7*6^{-1.7v}-6=8 is v=-(ln(140/17))/(1.7ln(6))

Solve for v: 1.7*6^{-1.7v}-6=8

The solution is v=-(ln(140/17))/(1.7ln(6))

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1.7 \cdot 6^{- 1.7 v} - 6 = 8

v = - \frac{ln ( \frac{140}{17} )}{1.7 ln ( 6 )}

Solution steps

1.7 \cdot 6^{- 1.7 v} - 6 = 8

Multiply both sides by

10

17 \cdot 6^{- 1.7 v} - 60 = 80

Move

60

to the right side

17 \cdot 6^{- 1.7 v} = 140

Divide both sides by

17

6^{- 1.7 v} = \frac{140}{17}

Apply exponent rules

- 1.7 v ln (6) = ln (\frac{140}{17})

Solve

- 1.7 v ln (6) = ln (\frac{140}{17}) : v = - \frac{ln ( \frac{140}{17} )}{1.7 ln ( 6 )}

v = - \frac{ln ( \frac{140}{17} )}{1.7 ln ( 6 )}

3^{x} = \frac{1}{243}

0. 1^{2 x} = 10

e^{x} = 13

e^{x} = 15

e^{4 x} = 18

What is the answer to 1.7*6^{-1.7v}-6=8 ?
The answer to 1.7*6^{-1.7v}-6=8 is v=-(ln(140/17))/(1.7ln(6))
Solve for v: 1.7*6^{-1.7v}-6=8
The solution is v=-(ln(140/17))/(1.7ln(6))