Consider the following statements Statement 1 : If y=\log _{10} x+\log _e x, then \frac{d y}{d x}={\log _{10} e}/{x}+\frac{1}{x} Statement 2 : If \frac{d}{d x}(\log _{10} x)=\frac{\log x}{\log 10} and \frac{d}{d x}(\log _{e} x)=\frac{\log x}{\log e}

Correct Answer is : Statement 1 is true, Statement 2 is false.

Statement 1 is true, Statement 2 is false.

Statement 1 is false, statement 2 is true.

Both statements 1 and 2 are true.

Both statements 1 and 2 are false.

KCET 2021 Math Solved Paper

Question : 40 of 60

Marks: +1, -0

Consider the following statements
Statement 1 : If y=log10x+logex, then

log10e

Statement 2 : If

(log10x)=

log‌x

log‌10

and

(logex)=

log‌x

log‌e

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