What is the answer to 3^{3x-2}= 1/54 ?

The answer to 3^{3x-2}= 1/54 is x=-(ln(6))/(3ln(3))

Solve for x: 3^{3x-2}= 1/54

The solution is x=-(ln(6))/(3ln(3))

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3^{3 x - 2} = \frac{1}{54}

x = - \frac{ln ( 6 )}{3 ln ( 3 )}

Decimal Notation

x = - 0.54364 \dots

Solution steps

3^{3 x - 2} = \frac{1}{54}

Apply exponent rules

(3 x - 2) ln (3) = ln (\frac{1}{54})

Solve

(3 x - 2) ln (3) = ln (\frac{1}{54}) : x = - \frac{ln ( 6 )}{3 ln ( 3 )}

x = - \frac{ln ( 6 )}{3 ln ( 3 )}

45 e^{2 k} = 225

1 0^{x} = 36.9

1 0^{l o g_{10} (x^{2} + 2 x)} = 8

5^{2 x} + 3 \cdot 5^{x} - 4 = 0

What is the answer to 3^{3x-2}= 1/54 ?
The answer to 3^{3x-2}= 1/54 is x=-(ln(6))/(3ln(3))
Solve for x: 3^{3x-2}= 1/54
The solution is x=-(ln(6))/(3ln(3))