What is the inverse of (5^x)/(5+5^x) ?

The inverse of (5^x)/(5+5^x) is (ln(-\frac{5x)/(x-1))}{ln(5)}

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inverse of (5^x)/(5+5^x)

inverse

\frac{5 ^{x}}{5 + 5 ^{x}}

\frac{ln ( - \frac{5 x}{x - 1} )}{ln ( 5 )}

Solution steps

y = \frac{5 ^{x}}{5 + 5 ^{x}}

Replace

x

with

y

x = \frac{5 ^{y}}{5 + 5 ^{y}}

Solve for

y, x = \frac{5 ^{y}}{5 + 5 ^{y}}

\frac{ln ( - \frac{5 x}{x - 1} )}{ln ( 5 )}

\frac{x ^{3} + 5}{4}

h (x) = x^{2} - 5 + 2

\frac{8}{x ^{2} - x - 6}

f (x) = 4 x + 8 x^{2}

f (x) = - 2^{(x - 2)} + 5

What is the inverse of (5^x)/(5+5^x) ?
The inverse of (5^x)/(5+5^x) is (ln(-\frac{5x)/(x-1))}{ln(5)}