What is the inverse of f(x)=-10log_{4}(x) ?

The inverse of f(x)=-10log_{4}(x) is 4^{-x/(10)}

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inverse of f(x)=-10log_{4}(x)

inverse

f (x) = - 10 lo g_{4} (x)

4^{- \frac{x}{10}}

Solution steps

y = - 10 lo g_{4} (x)

Replace

x

with

y

x = - 10 lo g_{4} (y)

Solve for

y, x = - 10 lo g_{4} (y)

4^{- \frac{x}{10}}

f (x) = \frac{( x + 21 )}{x - 7}

m = - 2, (4, 0)

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

(x - 15)^{2}

(- 3, 2), (4, 4)

What is the inverse of f(x)=-10log_{4}(x) ?
The inverse of f(x)=-10log_{4}(x) is 4^{-x/(10)}