What is the answer to 3(2^{x+4})=350 ?

The answer to 3(2^{x+4})=350 is x=(ln(350/3))/(ln(2))-4

Solve for x: 3(2^{x+4})=350

The solution is x=(ln(350/3))/(ln(2))-4

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3 (2^{x + 4}) = 350

x = \frac{ln ( \frac{350}{3} )}{ln ( 2 )} - 4

Decimal Notation

x = 2.86624 \dots

Solution steps

3 (2^{x + 4}) = 350

Divide both sides by

3

2^{x + 4} = \frac{350}{3}

Apply exponent rules

(x + 4) ln (2) = ln (\frac{350}{3})

Solve

(x + 4) ln (2) = ln (\frac{350}{3}) : x = \frac{ln ( \frac{350}{3} )}{ln ( 2 )} - 4

x = \frac{ln ( \frac{350}{3} )}{ln ( 2 )} - 4

e^{- 3 t} = 0

e^{- 2 x} = (e^{5})^{x + 7}

11 = 1 1^{2 x}

85 = 2 7^{x}

(\frac{1}{3})^{2 x} = 81

What is the answer to 3(2^{x+4})=350 ?
The answer to 3(2^{x+4})=350 is x=(ln(350/3))/(ln(2))-4
Solve for x: 3(2^{x+4})=350
The solution is x=(ln(350/3))/(ln(2))-4