求反函数 f(x)=2^{2x}-1

解答

求反函数

f (x) = 2^{2 x} - 1

\frac{ln ( x + 1 )}{2 ln ( 2 )}

求解步骤

y = 2^{2 x} - 1

用

y

替代

x

x = 2^{2 y} - 1

求解

y, x = 2^{2 y} - 1

\frac{ln ( x + 1 )}{2 ln ( 2 )}

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