What is simplify-log_{e}(x)-log_{e}(y) ?

The solution to simplify-log_{e}(x)-log_{e}(y) is -ln(xy)

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simplify-log_{e}(x)-log_{e}(y)

simplify

- lo g_{e} (x) - lo g_{e} (y)

- ln (x y)

Solution steps

- lo g_{e} (x) - lo g_{e} (y)

Rewrite

- lo g_{e} (x) - lo g_{e} (y)

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

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

Apply log rule:

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

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

= - lo g_{e} (x y)

Apply log rule:

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

= - ln (x y)

- 3 ln (x) + x + x y + y - 3 ln (y)

2 lo g_{10} (2 + 3)

- lo g_{10} (3.8 \cdot 1 0^{- 5})

ln (\frac{3 x ^{5}}{y})

ln (8 c)

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