What is simplify-5[log_{10}(x)-log_{10}(y-2)] ?

The solution to simplify-5[log_{10}(x)-log_{10}(y-2)] is -5log_{10}(x/(y-2))

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simplify-5[log_{10}(x)-log_{10}(y-2)]

simplify

- 5 [lo g_{10} (x) - lo g_{10} (y - 2)]

- 5 lo g_{10} (\frac{x}{y - 2})

Solution steps

- 5 (lo g_{10} (x) - lo g_{10} (y - 2))

Apply log rule:

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

lo g_{10} (x) - lo g_{10} (y - 2) = lo g_{10} (\frac{x}{y - 2})

= - 5 lo g_{10} (\frac{x}{y - 2})

4 lo g_{3} (x) + lo g_{3} (7)

ln (413.93) - ln (280)

lo g_{5} (x + 6) + 2 lo g_{5} (x)

ln (\frac{25}{22})

\frac{1}{2} lo g_{3} (64) - 2 lo g_{3} (4) + lo g_{3} (18)

What is simplify-5[log_{10}(x)-log_{10}(y-2)] ?
The solution to simplify-5[log_{10}(x)-log_{10}(y-2)] is -5log_{10}(x/(y-2))