What is the answer to 3^{3x-4}=24 ?

The answer to 3^{3x-4}=24 is x=(ln(1944))/(3ln(3))

Solve for x: 3^{3x-4}=24

The solution is x=(ln(1944))/(3ln(3))

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3^{3 x - 4} = 24

x = \frac{ln ( 1944 )}{3 ln ( 3 )}

Decimal Notation

x = 2.29759 \dots

Solution steps

3^{3 x - 4} = 24

Apply exponent rules

(3 x - 4) ln (3) = ln (24)

Solve

(3 x - 4) ln (3) = ln (24) : x = \frac{ln ( 1944 )}{3 ln ( 3 )}

x = \frac{ln ( 1944 )}{3 ln ( 3 )}

3 = 20 (\frac{1}{2})^{2 x}

4^{x + 1} + 2^{2 x} = 20

7^{x + 1} - 2 = 0

1 0^{x} + 1 0^{x + 1} - 110 = 0

x, w = 3^{2 x - 5}

What is the answer to 3^{3x-4}=24 ?
The answer to 3^{3x-4}=24 is x=(ln(1944))/(3ln(3))
Solve for x: 3^{3x-4}=24
The solution is x=(ln(1944))/(3ln(3))