What is the answer to 2^x=1000 ?

The answer to 2^x=1000 is x=(3ln(10))/(ln(2))

Solve for x: 2^x=1000

The solution is x=(3ln(10))/(ln(2))

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2^{x} = 1000

x = \frac{3 ln ( 10 )}{ln ( 2 )}

Decimal Notation

x = 9.96578 \dots

Solution steps

2^{x} = 1000

Apply exponent rules

x ln (2) = ln (1000)

Solve

x ln (2) = ln (1000) : x = \frac{3 ln ( 10 )}{ln ( 2 )}

x = \frac{3 ln ( 10 )}{ln ( 2 )}

\frac{e ^{x}}{1 - x} = 0

2^{x + 5} = 8^{x - 1}

e^{2 x} = 5

3^{x^{2}} = 9^{x}

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