What is the answer to 3^{3x+2}=12 ?

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

Solve for x: 3^{3x+2}=12

The solution is x=(ln(4/3))/(3ln(3))

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3^{3 x + 2} = 12

x = \frac{ln ( \frac{4}{3} )}{3 ln ( 3 )}

Solution steps

3^{3 x + 2} = 12

Apply exponent rules

(3 x + 2) ln (3) = ln (12)

Solve

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

x = \frac{ln ( \frac{4}{3} )}{3 ln ( 3 )}

3^{3 x + 2} = 15

3^{x} 0. 4^{2 x + 1} = 6^{x + 2}

12 = 10 e^{0.01 t}

2. 5^{3 x + 2} = 0. 4^{1 - 2 x}

4^{2 x - 3} + 1 6^{x - 1} = \frac{5}{64}

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