What is the answer to 3^x=1000 ?

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

Solve for x: 3^x=1000

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

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3^{x} = 1000

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

Decimal Notation

x = 6.28770 \dots

Solution steps

3^{x} = 1000

Apply exponent rules

x ln (3) = ln (1000)

Solve

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

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

3^{4 x} = 81

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

3^{2 t - 1} = 7^{t + 2}

7^{x} = 32

7^{x} = 35