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Popular >

simplify log_{e}(xy)

Solution

simplify

lo g_{e} (x y)

Solution

ln (x) + ln (y)

Solution steps

lo g_{e} (x y)

Apply log rule:

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

lo g_{e} (x y) = lo g_{e} (x) + lo g_{e} (y)

= lo g_{e} (x) + lo g_{e} (y)

Apply log rule:

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

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

Apply log rule:

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

= ln (x) + ln (y)

Popular Examples

simplify log_{10}(2)+2log_{10}(n)simplify

lo g_{10} (2) + 2 lo g_{10} (n)

simplify ln(((x+1)^2)/(x^2+1))simplify

ln (\frac{( x + 1 ) ^{2}}{x ^{2} + 1})

simplify ln((x^4+y^4)/(x^4))simplify

ln (\frac{x ^{4} + y ^{4}}{x ^{4}})

simplify ln(y^2+2)-ln(y^2-2)simplify

ln (y^{2} + 2) - ln (y^{2} - 2)

simplify-log_{10}(3.37*10^{-6})simplify

- lo g_{10} (3.37 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

What is log_{e}(xy) ?
The solution to log_{e}(xy) is ln(x)+ln(y)