What is the inverse of f(x)=log_{8}(x+3)+4 ?

The inverse of f(x)=log_{8}(x+3)+4 is 8^{x-4}-3

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inverse of f(x)=log_{8}(x+3)+4

inverse

f (x) = lo g_{8} (x + 3) + 4

8^{x - 4} - 3

Solution steps

y = lo g_{8} (x + 3) + 4

Replace

x

with

y

x = lo g_{8} (y + 3) + 4

Solve for

y, x = lo g_{8} (y + 3) + 4

8^{x - 4} - 3

f (x) = \frac{x - 3}{x - 8}

4 x = - 5 y - 5

f (x) = - tan (x + 3) - 2

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

y = - 3 x + 3

What is the inverse of f(x)=log_{8}(x+3)+4 ?
The inverse of f(x)=log_{8}(x+3)+4 is 8^{x-4}-3