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

---

Definitions:

Modification Of Terms

Changes made to the terms of a contract, including loans and agreements, to adjust the obligations of the parties involved.

Carrying Value

The book value of an asset or liability on a company's balance sheet, calculated as original cost minus accumulated depreciation or amortization.

Ordinary Gain

A profit resulting from the sale or exchange of assets used in a business, not classified as capital gains.

Restructured Loan

A loan that has had its terms modified by agreement between the borrower and lender, often to provide relief to a borrower from the original terms due to financial difficulty.