What is log_{10}(21)-log_{10}(7) ?

The solution to log_{10}(21)-log_{10}(7) is log_{10}(3)

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simplify log_{10}(21)-log_{10}(7)

simplify

lo g_{10} (21) - lo g_{10} (7)

lo g_{10} (3)

Decimal Notation

0.47712 \dots

Solution steps

lo g_{10} (21) - lo g_{10} (7)

Apply log rule:

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

lo g_{10} (21) - lo g_{10} (7) = lo g_{10} (\frac{21}{7})

= lo g_{10} (\frac{21}{7})

Divide the numbers:

\frac{21}{7} = 3

= lo g_{10} (3)

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

4 lo g_{2} (11) - 6 lo g_{2} (6)

ln (\frac{( 3 ^{x} 6 ^{2 x} )}{2 ^{3 x}})

ln (13 x) - ln (13)

5 ln (x) + ln (y)

What is log_{10}(21)-log_{10}(7) ?
The solution to log_{10}(21)-log_{10}(7) is log_{10}(3)