Rewrite the Expression as a Sum, Difference, or Multiple of Logarithms

question 199

Multiple Choice

Rewrite the expression as a sum, difference, or multiple of logarithms.
-Find where $f ^ { \prime } ( x ) = 0$ if $f ^ { \prime } ( x ) = \left( x ^ { 2 } - 9 \right) \left[ 2 ( x - 8 ) ^ { 2 } \right] + ( x - 8 ) ^ { 3 } ( 5 x )$

• A) \(x = - 8 , x = \frac { 40 + \sqrt { 526 } } { 7 } , x = \frac { 40 - \sqrt { 526 } } { 7 }\)
• B) \(x = 8 , x = \frac { 20 + \sqrt { 526 } } { 7 } , x = \frac { 20 - \sqrt { 526 } } { 7 }\)
• C)\( \mathrm { x } = 8 , \mathrm { x } = \frac { 20 + \sqrt { 526 } } { 14 } , \mathrm { x } = \frac { 20 - \sqrt { 526 } } { 14 }\)
• D) \(x = 8 , x = \frac { 40 + 2 \sqrt { 1052 } } { 7 } , x = \frac { 40 - 2 \sqrt { 1052 } } { 7 }\)

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