What is the answer to -5*7^{-3x-6}-8=-9 ?

The answer to -5*7^{-3x-6}-8=-9 is x=-(-ln(5)+6ln(7))/(3ln(7))

Solve for x: -5*7^{-3x-6}-8=-9

The solution is x=-(-ln(5)+6ln(7))/(3ln(7))

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- 5 \cdot 7^{- 3 x - 6} - 8 = - 9

x = - \frac{- ln ( 5 ) + 6 ln ( 7 )}{3 ln ( 7 )}

Decimal Notation

x = - 1.72430 \dots

Solution steps

- 5 \cdot 7^{- 3 x - 6} - 8 = - 9

Move

8

to the right side

- 5 \cdot 7^{- 3 x - 6} = - 1

Divide both sides by

- 5

7^{- 3 x - 6} = \frac{1}{5}

Apply exponent rules

(- 3 x - 6) ln (7) = ln (\frac{1}{5})

Solve

(- 3 x - 6) ln (7) = ln (\frac{1}{5}) : x = - \frac{- ln ( 5 ) + 6 ln ( 7 )}{3 ln ( 7 )}

x = - \frac{- ln ( 5 ) + 6 ln ( 7 )}{3 ln ( 7 )}

4 = 3^{x - 3}

x, 1 - e^{- x^{4}} = r

8^{x} = 51 2^{x + 2}

y, x = 2 y + 4^{y}

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

What is the answer to -5*7^{-3x-6}-8=-9 ?
The answer to -5*7^{-3x-6}-8=-9 is x=-(-ln(5)+6ln(7))/(3ln(7))
Solve for x: -5*7^{-3x-6}-8=-9
The solution is x=-(-ln(5)+6ln(7))/(3ln(7))