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Popular >

3^x=e^2

Solution

3^{x} = e^{2}

Solution

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

+1

Decimal

x = 1.82047 \dots

Solution steps

3^{x} = e^{2}

Apply exponent rules

x ln (3) = 2

Solve

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

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

Graph

Popular Examples

2^{x + 5} = 256

3e^{3x}-7e^{2x}-19e^x-5+4e^{-x}=0

3 e^{3 x} - 7 e^{2 x} - 19 e^{x} - 5 + 4 e^{- x} = 0

3^x-3^{-x}= 728/27

3^{x} - 3^{- x} = \frac{728}{27}

17/327 =e^{-9.22\times 10^{-4t}}

\frac{17}{327} = e^{- 9.22 \times 1 0^{- 4 t}}

7^{3x+4}=49^{2x+1}

7^{3 x + 4} = 4 9^{2 x + 1}

Frequently Asked Questions (FAQ)

What is the answer to 3^x=e^2 ?
The answer to 3^x=e^2 is x= 2/(ln(3))