What is the answer to 13^x=2 ?

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

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

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13^x=2

1 3^{x} = 2

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

Decimal Notation

x = 0.27023 \dots

Solution steps

1 3^{x} = 2

Apply exponent rules

x ln (13) = ln (2)

Solve

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

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

1 6^{x} - 5 (4^{x}) + 6 = 0

e^{x} = 4 x^{2 + 10}

10 = 5 e^{5 x}

2^{2 x} - 5 (2^{x}) + 4 = 0

e^{- 3} e^{2} ln (e^{e}) = e^{x}