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Popular >

simplify log_{e}(2/x)

Solution

simplify

lo g_{e} (\frac{2}{x})

Solution

ln (2) - ln (x)

Solution steps

lo g_{e} (\frac{2}{x})

Apply log rule:

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

lo g_{e} (\frac{2}{x}) = lo g_{e} (2) - lo g_{e} (x)

= lo g_{e} (2) - lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (2) - lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (2) - ln (x)

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Frequently Asked Questions (FAQ)

What is log_{e}(2/x) ?
The solution to log_{e}(2/x) is ln(2)-ln(x)