What is the answer to 13^x=26 ?

The answer to 13^x=26 is x=(ln(26))/(ln(13))

The solution is x=(ln(26))/(ln(13))

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13^x=26

1 3^{x} = 26

x = \frac{ln ( 26 )}{ln ( 13 )}

Decimal

x = 1.27023 \dots

Solution steps

1 3^{x} = 26

Apply exponent rules

x ln (13) = ln (26)

Solve

x ln (13) = ln (26) : x = \frac{ln ( 26 )}{ln ( 13 )}

x = \frac{ln ( 26 )}{ln ( 13 )}

e^{x} x^{2} (x^{2} + x - 6) = 0

t, E^{- 18 t} = \frac{15}{4}

6 (2^{3 x - 1}) - 7 = 9

3^{x + 2} - 5 \times 3^{x} = 36

e^{7 x} = 2