What is the answer to 3^{x/4}=2 ?

The answer to 3^{x/4}=2 is x=(4ln(2))/(ln(3))

Solve for x: 3^{x/4}=2

The solution is x=(4ln(2))/(ln(3))

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3^{\frac{x}{4}} = 2

x = \frac{4 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = 2.52371 \dots

Solution steps

3^{\frac{x}{4}} = 2

Apply exponent rules

\frac{x}{4} ln (3) = ln (2)

Solve

\frac{x}{4} ln (3) = ln (2) : x = \frac{4 ln ( 2 )}{ln ( 3 )}

x = \frac{4 ln ( 2 )}{ln ( 3 )}

3^{x} = 7^{x}

y, \frac{1}{3 ^{- 4}} = x^{y}

5 (3 e^{- x} x^{2} - e^{- x} x^{3}) = 0

2^{3 x + 1} = 7^{x}

6 4^{3 x} = 8^{24}