What is log_{4}(21)-log_{4}(3) ?

The solution to log_{4}(21)-log_{4}(3) is log_{4}(7)

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simplify log_{4}(21)-log_{4}(3)

simplify

lo g_{4} (21) - lo g_{4} (3)

lo g_{4} (7)

Decimal Notation

1.40367 \dots

Solution steps

lo g_{4} (21) - lo g_{4} (3)

Apply log rule:

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

lo g_{4} (21) - lo g_{4} (3) = lo g_{4} (\frac{21}{3})

= lo g_{4} (\frac{21}{3})

Divide the numbers:

\frac{21}{3} = 7

= lo g_{4} (7)

lo g_{8} (a^{6} b^{5})

lo g_{10} (15) - 2 lo g_{10} (10) + lo g_{10} (60)

6 lo g_{3} (x) + 12 lo g_{3} (y)

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

lo g_{2} (\frac{a}{b})

What is log_{4}(21)-log_{4}(3) ?
The solution to log_{4}(21)-log_{4}(3) is log_{4}(7)