Question

Consider the following statements :
Statement 1 : If y = log10x + logex then $\frac{dy}{dx}=\frac{\log_{10}e}{x}+\frac{1}{x}$
Statement 2 : $\frac{d}{dx}(\log_{10}x)=\frac{\log x}{\log 10}\ \text{and}\ \frac{d}{dx}(\log_ex)=\frac{\log x}{\log e}$

• A. Statement 1 is true; statement 2 is false
• B. Statement 1 is false; statement 2 is true
• C. Both statements 1 and 2 are true
• D. Both statements 1 and 2 are false

Answer 1

Answer: (A)

Statement 1 is true; statement 2 is false

Answer 2

The correct answer is (A) : Statement 1 is true; statement 2 is false.