What is the answer to 2^x=500 ?

The answer to 2^x=500 is x=(ln(500))/(ln(2))

The solution is x=(ln(500))/(ln(2))

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2^x=500

2^{x} = 500

x = \frac{ln ( 500 )}{ln ( 2 )}

Decimal Notation

x = 8.96578 \dots

Solution steps

2^{x} = 500

Apply exponent rules

x ln (2) = ln (500)

Solve

x ln (2) = ln (500) : x = \frac{ln ( 500 )}{ln ( 2 )}

x = \frac{ln ( 500 )}{ln ( 2 )}

ln (e^{3 x}) = 1

2^{x} = 20000

e^{x} x^{2} + 4 e^{x} x + 2 e^{x} = 0

3^{2 x} = 9^{\frac{5}{2} x - 3}

x, 8 1^{x} = 3