What is the answer to 1000=2^x ?

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

Solve for x: 1000=2^x

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

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1000 = 2^{x}

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

Decimal Notation

x = 9.96578 \dots

Solution steps

1000 = 2^{x}

Apply exponent rules

ln (1000) = x ln (2)

Solve

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

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

2^{x + 1} = (\frac{1}{2})^{2}

3^{5 x - 8} = 9^{x + 2}

2^{x - 2} + 62 = 2^{x + 3}

e^{2 x} = 10

2^{x - 1} = 31