What is the answer to 3^x=3 1/4 ?

The answer to 3^x=3 1/4 is x=(ln(13/4))/(ln(3))

Solve for x: 3^x=3 1/4

The solution is x=(ln(13/4))/(ln(3))

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3^{x} = 3 \frac{1}{4}

x = \frac{ln ( \frac{13}{4} )}{ln ( 3 )}

Decimal Notation

x = 1.07285 \dots

Solution steps

3^{x} = 3 \frac{1}{4}

Convert mixed numbers to improper fractions:

3 \frac{1}{4} = \frac{13}{4}

3^{x} = \frac{13}{4}

Apply exponent rules

x ln (3) = ln (\frac{13}{4})

Solve

x ln (3) = ln (\frac{13}{4}) : x = \frac{ln ( \frac{13}{4} )}{ln ( 3 )}

x = \frac{ln ( \frac{13}{4} )}{ln ( 3 )}

3 e^{- x} x^{2} - e^{- x} x^{3} = 0

8^{x + 3} = \frac{1}{16}

e^{x} = e^{x^{2} - 6}

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

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

What is the answer to 3^x=3 1/4 ?
The answer to 3^x=3 1/4 is x=(ln(13/4))/(ln(3))
Solve for x: 3^x=3 1/4
The solution is x=(ln(13/4))/(ln(3))