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

The answer to 3^{3x-2}=12 is x=(ln(108))/(3ln(3))

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

The solution is x=(ln(108))/(3ln(3))

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3^{3 x - 2} = 12

x = \frac{ln ( 108 )}{3 ln ( 3 )}

Decimal Notation

x = 1.42061 \dots

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 ( 108 )}{3 ln ( 3 )}

x = \frac{ln ( 108 )}{3 ln ( 3 )}

e^{2 k} - e^{k} - 6 = 0

4^{x} = 2^{x + 1} + 3

(7)^{- 1} \cdot (7)^{3 k + 2} = \frac{( 7 ) ^{15}}{( ( 7 ) ^{8} )}

9^{n + 1} - 9^{n} = 72

x, (\frac{x}{10}) - a \cdot e^{- \frac{x}{( r \cdot t )}} = 0

What is the answer to 3^{3x-2}=12 ?
The answer to 3^{3x-2}=12 is x=(ln(108))/(3ln(3))
Solve for x: 3^{3x-2}=12
The solution is x=(ln(108))/(3ln(3))