What is the answer to 5^x=11 ?

The answer to 5^x=11 is x=(ln(11))/(ln(5))

The solution is x=(ln(11))/(ln(5))

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5^x=11

5^{x} = 11

x = \frac{ln ( 11 )}{ln ( 5 )}

Decimal Notation

x = 1.48989 \dots

Solution steps

5^{x} = 11

Apply exponent rules

x ln (5) = ln (11)

Solve

x ln (5) = ln (11) : x = \frac{ln ( 11 )}{ln ( 5 )}

x = \frac{ln ( 11 )}{ln ( 5 )}

y, x = 2^{- y}

r, t^{r} = 0

ln (e^{7 x}) = 15

x, y = 5 e^{2 x}