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

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

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inverse of f(x)=7^{(-x+3)}+5

inverse

f (x) = 7^{(- x + 3)} + 5

- \frac{ln ( x - 5 ) - 3 ln ( 7 )}{ln ( 7 )}

Solution steps

y = 7^{- x + 3} + 5

Replace

x

with

y

x = 7^{- y + 3} + 5

Solve for

y, x = 7^{- y + 3} + 5

- \frac{ln ( x - 5 ) - 3 ln ( 7 )}{ln ( 7 )}

64 + 81 a^{2}

(3 x - 17)^{2}

f (x) = f (x) = \frac{9}{5} c + 32

f (x) = \frac{3 x - 8}{2 x + 1}

3 x - 3 x^{2}

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