What is log_{10}(15)-log_{10}(5) ?

The solution to log_{10}(15)-log_{10}(5) is log_{10}(3)

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simplify log_{10}(15)-log_{10}(5)

simplify

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

lo g_{10} (3)

Decimal Notation

0.47712 \dots

Solution steps

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

Apply log rule:

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

lo g_{10} (15) - lo g_{10} (5) = lo g_{10} (\frac{15}{5})

= lo g_{10} (\frac{15}{5})

Divide the numbers:

\frac{15}{5} = 3

= lo g_{10} (3)

ln (\frac{8}{3})

lo g_{b} (y^{2}) - lo g_{b} (x - y)

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

lo g_{4} ((2 w^{4})^{3})

ln (x) + ln (10)

What is log_{10}(15)-log_{10}(5) ?
The solution to log_{10}(15)-log_{10}(5) is log_{10}(3)