What is the answer to 55=23^x ?

The answer to 55=23^x is x=(ln(55))/(ln(23))

The solution is x=(ln(55))/(ln(23))

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55=23^x

55 = 2 3^{x}

x = \frac{ln ( 55 )}{ln ( 23 )}

Decimal Notation

x = 1.27805 \dots

Solution steps

55 = 2 3^{x}

Apply exponent rules

ln (55) = x ln (23)

Solve

ln (55) = x ln (23) : x = \frac{ln ( 55 )}{ln ( 23 )}

x = \frac{ln ( 55 )}{ln ( 23 )}

2^{x} + 2^{- x} = 4

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

lo g_{2} (8^{x}) = - 3

x, 3^{x} = 243

3 e^{x} = 5 + 8 e^{- x}