What is the inverse of f(x)=log_{5}(-2x^4) ?

The inverse of f(x)=log_{5}(-2x^4) is \sqrt[4]{-(5^x)/2},-\sqrt[4]{-(5^x)/2}

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inverse of f(x)=log_{5}(-2x^4)

inverse

f (x) = lo g_{5} (- 2 x^{4})

Solution steps

y = lo g_{5} (- 2 x^{4})

Replace

x

with

y

x = lo g_{5} (- 2 y^{4})

Solve for

y, x = lo g_{5} (- 2 y^{4})

4 x^{\frac{1}{3}} - x^{\frac{4}{3}}

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

x ln (5 x)

x^{3} + 2 x^{2} - x + 4

f (x) = \frac{( x + 1 )}{( 2 x + 1 )}

What is the inverse of f(x)=log_{5}(-2x^4) ?
The inverse of f(x)=log_{5}(-2x^4) is \sqrt[4]{-(5^x)/2},-\sqrt[4]{-(5^x)/2}