What is the inverse of f(x)=ln(ln(ln(4x))) ?

The inverse of f(x)=ln(ln(ln(4x))) is (e^{e^{e^x}})/4

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inverse of f(x)=ln(ln(ln(4x)))

inverse

f (x) = ln (ln (ln (4 x)))

\frac{e ^{e^{e^{x}}}}{4}

Solution steps

y = ln (ln (ln (4 x)))

Replace

x

with

y

x = ln (ln (ln (4 y)))

Solve for

y, x = ln (ln (ln (4 y)))

\frac{e ^{e^{e^{x}}}}{4}

\frac{x ^{3} + 4 x ^{2}}{6 x ^{2} - 1}

f (x) = \frac{x + 15}{x - 5}

f (x) = t^{4} - 16 t^{3} + 22 t^{2}

f (x) = - (x + 1)^{3} - 2

f (x) = x^{2} - 6 x + 5

What is the inverse of f(x)=ln(ln(ln(4x))) ?
The inverse of f(x)=ln(ln(ln(4x))) is (e^{e^{e^x}})/4