What is the answer to 3^{3x-4}=21 ?

The answer to 3^{3x-4}=21 is x=(ln(1701))/(3ln(3))

Solve for x: 3^{3x-4}=21

The solution is x=(ln(1701))/(3ln(3))

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3^{3 x - 4} = 21

x = \frac{ln ( 1701 )}{3 ln ( 3 )}

Decimal Notation

x = 2.25708 \dots

Solution steps

3^{3 x - 4} = 21

Apply exponent rules

(3 x - 4) ln (3) = ln (21)

Solve

(3 x - 4) ln (3) = ln (21) : x = \frac{ln ( 1701 )}{3 ln ( 3 )}

x = \frac{ln ( 1701 )}{3 ln ( 3 )}

3^{3 x - 4} = 24

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

What is the answer to 3^{3x-4}=21 ?
The answer to 3^{3x-4}=21 is x=(ln(1701))/(3ln(3))
Solve for x: 3^{3x-4}=21
The solution is x=(ln(1701))/(3ln(3))