What is 7(log_{10}(x)-log_{10}(y)) ?

The solution to 7(log_{10}(x)-log_{10}(y)) is 7log_{10}(x/y)

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simplify 7(log_{10}(x)-log_{10}(y))

simplify

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

7 lo g_{10} (\frac{x}{y})

Solution steps

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

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

= 7 lo g_{10} (\frac{x}{y})

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

4 lo g_{10} (2 x)

lo g_{9} (8 ab)

ln (x (x + 9))

What is 7(log_{10}(x)-log_{10}(y)) ?
The solution to 7(log_{10}(x)-log_{10}(y)) is 7log_{10}(x/y)