What is the answer to 3^{3x-4}=12 ?

The answer to 3^{3x-4}=12 is x=(ln(972))/(3ln(3))

Solve for x: 3^{3x-4}=12

The solution is x=(ln(972))/(3ln(3))

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3^{3 x - 4} = 12

x = \frac{ln ( 972 )}{3 ln ( 3 )}

Decimal Notation

x = 2.08728 \dots

Solution steps

3^{3 x - 4} = 12

Apply exponent rules

(3 x - 4) ln (3) = ln (12)

Solve

(3 x - 4) ln (3) = ln (12) : x = \frac{ln ( 972 )}{3 ln ( 3 )}

x = \frac{ln ( 972 )}{3 ln ( 3 )}

1 3^{x} = 1

1 3^{x} = 2

1 6^{x} - 5 (4^{x}) + 6 = 0

e^{x} = 4 x^{2 + 10}

10 = 5 e^{5 x}

What is the answer to 3^{3x-4}=12 ?
The answer to 3^{3x-4}=12 is x=(ln(972))/(3ln(3))
Solve for x: 3^{3x-4}=12
The solution is x=(ln(972))/(3ln(3))