What is the answer to 2^x=3072 ?

The answer to 2^x=3072 is x=(ln(3072))/(ln(2))

Solve for x: 2^x=3072

The solution is x=(ln(3072))/(ln(2))

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2^{x} = 3072

x = \frac{ln ( 3072 )}{ln ( 2 )}

Decimal Notation

x = 11.58496 \dots

Solution steps

2^{x} = 3072

Apply exponent rules

x ln (2) = ln (3072)

Solve

x ln (2) = ln (3072) : x = \frac{ln ( 3072 )}{ln ( 2 )}

x = \frac{ln ( 3072 )}{ln ( 2 )}

a^{x} - a^{7} = 0

x, y = c e^{\frac{y}{x}}

8^{2 - x} = 8^{5 x - 7}

2^{2 x - 2} = 15

2^{x} - x - 1 = 0