What is log_{3}(M)-log_{3}(N) ?

The solution to log_{3}(M)-log_{3}(N) is log_{3}(M/N)

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simplify log_{3}(M)-log_{3}(N)

simplify

lo g_{3} (M) - lo g_{3} (N)

lo g_{3} (\frac{M}{N})

Solution steps

lo g_{3} (M) - lo g_{3} (N)

Apply log rule:

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

lo g_{3} (M) - lo g_{3} (N) = lo g_{3} (\frac{M}{N})

= lo g_{3} (\frac{M}{N})

lo g_{5} (125) - lo g_{5} (\frac{5}{5})

8 lo g_{10} (k) + 2 lo g_{10} (x)

ln (x^{12} 7 - x)

lo g_{10} (x) + lo g_{10} (x - 15)

ln (3 y)

What is log_{3}(M)-log_{3}(N) ?
The solution to log_{3}(M)-log_{3}(N) is log_{3}(M/N)