What is the answer to 3^{3x}=94 ?

The answer to 3^{3x}=94 is x=(ln(94))/(3ln(3))

Solve for x: 3^{3x}=94

The solution is x=(ln(94))/(3ln(3))

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Popular >

3^{3 x} = 94

x = \frac{ln ( 94 )}{3 ln ( 3 )}

Decimal Notation

x = 1.37849 \dots

Solution steps

3^{3 x} = 94

Apply exponent rules

3 x ln (3) = ln (94)

Solve

3 x ln (3) = ln (94) : x = \frac{ln ( 94 )}{3 ln ( 3 )}

x = \frac{ln ( 94 )}{3 ln ( 3 )}

10000 = 200000 \times (\frac{2}{3})^{x}

4^{3 x - 3} = 3 2^{x - 5}

(\frac{2}{3})^{5 x + 2} = (\frac{3}{2})^{2 x}

144 \cdot 2^{\frac{x}{3}} = 1616

3^{4 x + 1} - 5 = 22

What is the answer to 3^{3x}=94 ?
The answer to 3^{3x}=94 is x=(ln(94))/(3ln(3))
Solve for x: 3^{3x}=94
The solution is x=(ln(94))/(3ln(3))