What is log_{5}(3)+log_{5}(r)-log_{5}(w) ?

The solution to log_{5}(3)+log_{5}(r)-log_{5}(w) is log_{5}((3r)/w)

Popular >

simplify log_{5}(3)+log_{5}(r)-log_{5}(w)

simplify

lo g_{5} (3) + lo g_{5} (r) - lo g_{5} (w)

lo g_{5} (\frac{3 r}{w})

Solution steps

lo g_{5} (3) + lo g_{5} (r) - lo g_{5} (w)

Apply log rule:

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

lo g_{5} (3) + lo g_{5} (r) = lo g_{5} (3 r)

= lo g_{5} (3 r) - lo g_{5} (w)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{5} (3 r) - lo g_{5} (w) = lo g_{5} (\frac{3 r}{w})

= lo g_{5} (\frac{3 r}{w})

7 ln (x) - \frac{1}{7} ln (y)

lo g_{b} (\frac{x ^{3} y}{z ^{8}})

- \frac{1}{2} ln ∣ u ∣ + \frac{1}{2} ln ∣ u - 2 ∣

lo g_{m} (\frac{x ^{3}}{y ^{2}})

lo g_{π} (\frac{π ^{3} x ^{4} y ^{5} z}{( x - 1 ) ^{2} z})

What is log_{5}(3)+log_{5}(r)-log_{5}(w) ?
The solution to log_{5}(3)+log_{5}(r)-log_{5}(w) is log_{5}((3r)/w)