What is the inverse of \sqrt[4]{e^x}-7 ?

The inverse of \sqrt[4]{e^x}-7 is ln(x^4+28x^3+294x^2+1372x+2401)

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inverse of \sqrt[4]{e^x}-7

inverse

ln (x^{4} + 28 x^{3} + 294 x^{2} + 1372 x + 2401)

Solution steps

Replace

x

with

y

Solve for

ln (x^{4} + 28 x^{3} + 294 x^{2} + 1372 x + 2401)

x^{2} + 6 x + 7

y = 3^{x - 1} - 3

f (x) = \frac{1}{e ^{- x}} + \frac{1}{e ^{x}}

sin^{2} (2 α)

f (x) = \frac{( e ^{x} - 8 )}{2 - e ^{x}}

What is the inverse of \sqrt[4]{e^x}-7 ?
The inverse of \sqrt[4]{e^x}-7 is ln(x^4+28x^3+294x^2+1372x+2401)