What is the answer to 2^{2x+3}=15 ?

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

Solve for x: 2^{2x+3}=15

The solution is x=(ln(15)-3ln(2))/(2ln(2))

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2^{2 x + 3} = 15

x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

Solution steps

2^{2 x + 3} = 15

Apply exponent rules

(2 x + 3) ln (2) = ln (15)

Solve

(2 x + 3) ln (2) = ln (15) : x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

x = \frac{ln ( 15 ) - 3 ln ( 2 )}{2 ln ( 2 )}

3^{x} + 3^{x + 1} = 4

e^{x} = e^{2 x}

3 = e^{x - 3}

e^{y} = e

\frac{3000}{2 + e ^{2 x}} = 2

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