What is the inverse of ln((x+7)(x+4)+6)-5 ?

The inverse of ln((x+7)(x+4)+6)-5 is (-11+sqrt(4e^{x+5)-15})/2 ,(-11-sqrt(4e^{x+5)-15})/2

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inverse of ln((x+7)(x+4)+6)-5

inverse

ln ((x + 7) (x + 4) + 6) - 5

\frac{- 11 + 4 e ^{x + 5} - 15}{2}, \frac{- 11 - 4 e ^{x + 5} - 15}{2}

Solution steps

y = ln ((x + 7) (x + 4) + 6) - 5

Replace

x

with

y

x = ln ((y + 7) (y + 4) + 6) - 5

Solve for

y, x = ln ((y + 7) (y + 4) + 6) - 5

\frac{- 11 + 4 e ^{x + 5} - 15}{2}, \frac{- 11 - 4 e ^{x + 5} - 15}{2}

What is the inverse of ln((x+7)(x+4)+6)-5 ?
The inverse of ln((x+7)(x+4)+6)-5 is (-11+sqrt(4e^{x+5)-15})/2 ,(-11-sqrt(4e^{x+5)-15})/2