What is the inverse of f(x)=3log_{2}(x+5)+7 ?

The inverse of f(x)=3log_{2}(x+5)+7 is 2^{(x-7)/3}-5

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inverse of f(x)=3log_{2}(x+5)+7

inverse

f (x) = 3 lo g_{2} (x + 5) + 7

2^{\frac{x - 7}{3}} - 5

Solution steps

y = 3 lo g_{2} (x + 5) + 7

Replace

x

with

y

x = 3 lo g_{2} (y + 5) + 7

Solve for

y, x = 3 lo g_{2} (y + 5) + 7

2^{\frac{x - 7}{3}} - 5

f (x) = 5 x^{3} - 2 x + 1

f (x) = x^{2} - 3 x - 4

\frac{x}{6 x - 5}

h (x) = \frac{4 - 2 x}{5 x + 3}

y = 7.5 x - 300

What is the inverse of f(x)=3log_{2}(x+5)+7 ?
The inverse of f(x)=3log_{2}(x+5)+7 is 2^{(x-7)/3}-5