Question

Which of the following logarithm expressions are equivalent to sqrt xy in (e/x)

Answer 1

Answer

D) $=ln(x\sqrt{xy}) - 1$

Step by step explanation

We have to use the log rules.

The given expression can be written

$=ln\sqrt{xy} + ln(x) - ln(e)$        [Use the quotient rule]

$=ln(x\sqrt{xy}) - 1$                 [Use product rule : ln(x) + ln(y) = ln(xy)

                                                            and ln(e) = 1]

The answer is $=ln(x\sqrt{xy}) - 1$

Thank you.