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

The answer to 3^{3x-2}=15 is x=(ln(135))/(3ln(3))

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

The solution is x=(ln(135))/(3ln(3))

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3^{3 x - 2} = 15

x = \frac{ln ( 135 )}{3 ln ( 3 )}

Decimal Notation

x = 1.48832 \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 ( 135 )}{3 ln ( 3 )}

x = \frac{ln ( 135 )}{3 ln ( 3 )}

z, 2 = e^{2 x + 2 y + z}

2^{(7 x - 9)} = 4^{6 x}

54 (2) = 2 \cdot 3^{x}

2^{3 x - 5} = 3^{5 x + 4}

96 = 2^{x}

What is the answer to 3^{3x-2}=15 ?
The answer to 3^{3x-2}=15 is x=(ln(135))/(3ln(3))
Solve for x: 3^{3x-2}=15
The solution is x=(ln(135))/(3ln(3))