What is the answer to 3(12^{-11-x})+8=2501 ?

The answer to 3(12^{-11-x})+8=2501 is x=-(ln(831)+11ln(12))/(ln(12))

Solve for x: 3(12^{-11-x})+8=2501

The solution is x=-(ln(831)+11ln(12))/(ln(12))

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3 (1 2^{- 11 - x}) + 8 = 2501

x = - \frac{ln ( 831 ) + 11 ln ( 12 )}{ln ( 12 )}

Decimal

x = - 13.70538 \dots

Solution steps

3 (1 2^{- 11 - x}) + 8 = 2501

Move

8

to the right side

3 \cdot 1 2^{- 11 - x} = 2493

Divide both sides by

3

1 2^{- 11 - x} = 831

Apply exponent rules

(- 11 - x) ln (12) = ln (831)

Solve

(- 11 - x) ln (12) = ln (831) : x = - \frac{ln ( 831 ) + 11 ln ( 12 )}{ln ( 12 )}

x = - \frac{ln ( 831 ) + 11 ln ( 12 )}{ln ( 12 )}

e^{x} - e^{- x} - 6 = - 10

3^{x} + 20 = 28

y, e^{x + 2 y} = 0

2^{x} + 2^{2 x} = 2^{3 x}

41 - e^{2 x} = 5

What is the answer to 3(12^{-11-x})+8=2501 ?
The answer to 3(12^{-11-x})+8=2501 is x=-(ln(831)+11ln(12))/(ln(12))
Solve for x: 3(12^{-11-x})+8=2501
The solution is x=-(ln(831)+11ln(12))/(ln(12))