Find the Equation of the Straight Line, Tangent To $y = e ^ { 7 x } \log _ { 5 } x$

question 62

Multiple Choice

Find the equation of the straight line, tangent to $y = e ^ { 7 x } \log _ { 5 } x$ at the point $( 1,0 )$ .

• A) \(y ( x ) = \frac { e ^ { 7 } } { \ln 5 } x + \frac { e ^ { 7 } } { \ln 5 }\)
• B) \(y ( x ) = \frac { e ^ { 5 } } { \ln 7 } x - \frac { e ^ { 5 } } { \ln 7 }\)
• C) \(y ( x ) = \frac { e ^ { 5 } } { \ln 7 } x + \frac { e ^ { 5 } } { \ln 7 }\)
• D) \(y ( x ) = \frac { e ^ { 7 } } { \ln 5 } x - \frac { e ^ { 7 } } { \ln 5 }\)
• E) none of these

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