What is log_{10}(a)-log_{10}(b)-log_{10}(c) ?

The solution to log_{10}(a)-log_{10}(b)-log_{10}(c) is log_{10}(a/(bc))

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simplify log_{10}(a)-log_{10}(b)-log_{10}(c)

simplify

lo g_{10} (a) - lo g_{10} (b) - lo g_{10} (c)

lo g_{10} (\frac{a}{b c})

Solution steps

lo g_{10} (a) - lo g_{10} (b) - lo g_{10} (c)

Apply log rule:

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

lo g_{10} (a) - lo g_{10} (b) = lo g_{10} (\frac{a}{b})

= lo g_{10} (\frac{a}{b}) - lo g_{10} (c)

Apply log rule:

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

lo g_{10} (\frac{a}{b}) - lo g_{10} (c) = lo g_{10} (\frac{\frac{a}{b}}{c})

= lo g_{10} (\frac{\frac{a}{b}}{c})

Simplify

\frac{\frac{a}{b}}{c} : \frac{a}{b c}

= lo g_{10} (\frac{a}{b c})

lo g_{3} (5) + lo g_{3} (2)

lo g_{10} (4) + lo g_{10} (6) - lo g_{10} (2)

lo g_{15} (15 x)

lo g_{10} (15) + lo g_{10} (2) - lo g_{10} (5)

lo g_{7} (49 x)

What is log_{10}(a)-log_{10}(b)-log_{10}(c) ?
The solution to log_{10}(a)-log_{10}(b)-log_{10}(c) is log_{10}(a/(bc))