What is log_{10}(21)-log_{10}(3) ?

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

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simplify log_{10}(21)-log_{10}(3)

simplify

lo g_{10} (21) - lo g_{10} (3)

lo g_{10} (7)

Decimal Notation

0.84509 \dots

Solution steps

lo g_{10} (21) - lo g_{10} (3)

Apply log rule:

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

lo g_{10} (21) - lo g_{10} (3) = lo g_{10} (\frac{21}{3})

= lo g_{10} (\frac{21}{3})

Divide the numbers:

\frac{21}{3} = 7

= lo g_{10} (7)

lo g_{10} (5 bm)

lo g_{4} (2 (8 x^{6}))

lo g_{2} (16 x^{7})

lo g_{10} (\frac{3 b}{c})

\frac{1}{2} lo g_{2 (x)} (+ 2 lo g_{10} (2) (x - 6))

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