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Popular >

simplify ln((2dx)/x)

Solution

simplify

ln (\frac{2 d x}{x})

Solution

ln (2) + ln (d x) - ln (x)

Solution steps

ln (\frac{2 d x}{x})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{2 d x}{x}) = ln (2 d x) - ln (x)

= ln (2 d x) - ln (x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 d x) = ln (2) + ln (d x)

= ln (2) + ln (d x) - ln (x)

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Frequently Asked Questions (FAQ)

What is ln((2dx)/x) ?
The solution to ln((2dx)/x) is ln(2)+ln(dx)-ln(x)