What is the answer to 15=3(8)^{-x-4} ?

The answer to 15=3(8)^{-x-4} is x=-(ln(5)+12ln(2))/(3ln(2))

Solve for x: 15=3(8)^{-x-4}

The solution is x=-(ln(5)+12ln(2))/(3ln(2))

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15 = 3 (8)^{- x - 4}

x = - \frac{ln ( 5 ) + 12 ln ( 2 )}{3 ln ( 2 )}

Solution steps

15 = 3 (8)^{- x - 4}

Switch sides

3 \cdot 8^{- x - 4} = 15

Divide both sides by

3

8^{- x - 4} = 5

Apply exponent rules

(- x - 4) ln (8) = ln (5)

Solve

(- x - 4) ln (8) = ln (5) : x = - \frac{ln ( 5 ) + 12 ln ( 2 )}{3 ln ( 2 )}

x = - \frac{ln ( 5 ) + 12 ln ( 2 )}{3 ln ( 2 )}

3^{2 x} + 3^{x + 1} - 4 = 0

8^{x} = 1 6^{x}

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

e^{2 x} - 2 e^{x} - 24 = 0

e^{x - 2} = 1

What is the answer to 15=3(8)^{-x-4} ?
The answer to 15=3(8)^{-x-4} is x=-(ln(5)+12ln(2))/(3ln(2))
Solve for x: 15=3(8)^{-x-4}
The solution is x=-(ln(5)+12ln(2))/(3ln(2))