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

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

Popular >

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

simplify

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

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

Solution steps

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

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

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

Simplify

\frac{\frac{a}{x}}{y} : \frac{a}{x y}

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

ln (\frac{x}{x - 5}) + ln (\frac{x + 5}{x}) - ln (x^{2} - 25)

lo g_{b} (\frac{x}{yz})

\frac{1}{2} ln (x) + ln (y)

\frac{2}{5} ln (\frac{15}{2})

lo g_{10} (\frac{z ^{5}}{x ^{3} y})

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