What is the answer to 2^{3x+2}=14 ?

The answer to 2^{3x+2}=14 is x=(ln(7/2))/(3ln(2))

Solve for x: 2^{3x+2}=14

The solution is x=(ln(7/2))/(3ln(2))

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2^{3 x + 2} = 14

x = \frac{ln ( \frac{7}{2} )}{3 ln ( 2 )}

Decimal Notation

x = 0.60245 \dots

Solution steps

2^{3 x + 2} = 14

Apply exponent rules

(3 x + 2) ln (2) = ln (14)

Solve

(3 x + 2) ln (2) = ln (14) : x = \frac{ln ( \frac{7}{2} )}{3 ln ( 2 )}

x = \frac{ln ( \frac{7}{2} )}{3 ln ( 2 )}

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

e^{- 5.6 k} + 4 k = 1

3^{x + 2} + 3^{x} = 30

8 x^{3} e^{- 2 x} - 2 x^{4} 2 e^{- 2 x} = 0

e^{2 x + 1} = 7

What is the answer to 2^{3x+2}=14 ?
The answer to 2^{3x+2}=14 is x=(ln(7/2))/(3ln(2))
Solve for x: 2^{3x+2}=14
The solution is x=(ln(7/2))/(3ln(2))