What is the answer to 2^x=13 ?

The answer to 2^x=13 is x=(ln(13))/(ln(2))

The solution is x=(ln(13))/(ln(2))

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2^x=13

2^{x} = 13

x = \frac{ln ( 13 )}{ln ( 2 )}

Decimal Notation

x = 3.70043 \dots

Solution steps

2^{x} = 13

Apply exponent rules

x ln (2) = ln (13)

Solve

x ln (2) = ln (13) : x = \frac{ln ( 13 )}{ln ( 2 )}

x = \frac{ln ( 13 )}{ln ( 2 )}

3^{x} (3^{x} - 27) = 0

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t, f = a e^{- a t} u (t)

2^{4 x} - 5 \cdot 2^{2 x} + 4 = 0

9 \cdot 2 7^{x} = 27