What is log_{10}(5)-log_{10}(y)-log_{10}(9c) ?

The solution to log_{10}(5)-log_{10}(y)-log_{10}(9c) is log_{10}(5/(9yc))

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simplify log_{10}(5)-log_{10}(y)-log_{10}(9c)

simplify

lo g_{10} (5) - lo g_{10} (y) - lo g_{10} (9 c)

lo g_{10} (\frac{5}{9 yc})

Solution steps

lo g_{10} (5) - lo g_{10} (y) - lo g_{10} (9 c)

Apply log rule:

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

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

= lo g_{10} (\frac{5}{y}) - lo g_{10} (9 c)

Apply log rule:

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

lo g_{10} (\frac{5}{y}) - lo g_{10} (9 c) = lo g_{10} (\frac{\frac{5}{y}}{9 c})

= lo g_{10} (\frac{\frac{5}{y}}{9 c})

Simplify

\frac{\frac{5}{y}}{9 c} : \frac{5}{y \cdot 9 c}

= lo g_{10} (\frac{5}{y \cdot 9 c})

= lo g_{10} (\frac{5}{9 yc})

7 (lo g_{10} (x) - lo g_{10} (y))

lo g_{4} (\frac{6 y}{z})

4 lo g_{10} (2 x)

lo g_{9} (8 ab)

What is log_{10}(5)-log_{10}(y)-log_{10}(9c) ?
The solution to log_{10}(5)-log_{10}(y)-log_{10}(9c) is log_{10}(5/(9yc))