What is the answer to 220=2^x ?

The answer to 220=2^x is x=(ln(220))/(ln(2))

The solution is x=(ln(220))/(ln(2))

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220=2^x

220 = 2^{x}

x = \frac{ln ( 220 )}{ln ( 2 )}

Decimal Notation

x = 7.78135 \dots

Solution steps

220 = 2^{x}

Apply exponent rules

ln (220) = x ln (2)

Solve

ln (220) = x ln (2) : x = \frac{ln ( 220 )}{ln ( 2 )}

x = \frac{ln ( 220 )}{ln ( 2 )}

x, 1 = e^{2 x - 3} - 5

5 = 5 + 16 e^{k (34)}

(\frac{1}{8})^{x} = 512

\frac{- e ^{x} + 2}{3} = 0

2 5^{\frac{x}{2}} = 12 5^{x + 3}