What is the inverse of f(x)= 9/5 log_{4}(x) ?

The inverse of f(x)= 9/5 log_{4}(x) is 4^{(5x)/9}

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inverse of f(x)= 9/5 log_{4}(x)

inverse

f (x) = \frac{9}{5} lo g_{4} (x)

4^{\frac{5 x}{9}}

Solution steps

y = \frac{9}{5} lo g_{4} (x)

Replace

x

with

y

x = \frac{9}{5} lo g_{4} (y)

Solve for

y, x = \frac{9}{5} lo g_{4} (y)

4^{\frac{5 x}{9}}

f (x) = \frac{6}{x + 7}

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

f (x) = \frac{x - 5}{x + 3}

f (x) = (3 x - 4)

3 x^{2} - 6 x

What is the inverse of f(x)= 9/5 log_{4}(x) ?
The inverse of f(x)= 9/5 log_{4}(x) is 4^{(5x)/9}