What is log_{10}(14)-log_{10}(7) ?

The solution to log_{10}(14)-log_{10}(7) is log_{10}(2)

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simplify log_{10}(14)-log_{10}(7)

simplify

lo g_{10} (14) - lo g_{10} (7)

lo g_{10} (2)

Decimal Notation

0.30102 \dots

Solution steps

lo g_{10} (14) - lo g_{10} (7)

Apply log rule:

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

lo g_{10} (14) - lo g_{10} (7) = lo g_{10} (\frac{14}{7})

= lo g_{10} (\frac{14}{7})

Divide the numbers:

\frac{14}{7} = 2

= lo g_{10} (2)

ln (3) + 4 ln (x)

lo g_{10} (\frac{p ^{4} + q}{100})

lo g_{2} (\frac{s ^{5}}{9 t ^{2}})

lo g_{9} (\frac{1}{4}) + lo g_{3} (8)

lo g_{m} (\frac{1}{3})

What is log_{10}(14)-log_{10}(7) ?
The solution to log_{10}(14)-log_{10}(7) is log_{10}(2)