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

The answer to 3^{3x+2}=15 is x=(ln(5/3))/(3ln(3))

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

The solution is x=(ln(5/3))/(3ln(3))

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3^{3 x + 2} = 15

x = \frac{ln ( \frac{5}{3} )}{3 ln ( 3 )}

Decimal Notation

x = 0.15499 \dots

Solution steps

3^{3 x + 2} = 15

Apply exponent rules

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

Solve

(3 x + 2) ln (3) = ln (15) : x = \frac{ln ( \frac{5}{3} )}{3 ln ( 3 )}

x = \frac{ln ( \frac{5}{3} )}{3 ln ( 3 )}

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}

5^{2 x} - 26 (5^{x}) + 25 = 0

What is the answer to 3^{3x+2}=15 ?
The answer to 3^{3x+2}=15 is x=(ln(5/3))/(3ln(3))
Solve for x: 3^{3x+2}=15
The solution is x=(ln(5/3))/(3ln(3))