What is log_{5}(12)-log_{5}(6) ?

The solution to log_{5}(12)-log_{5}(6) is log_{5}(2)

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simplify log_{5}(12)-log_{5}(6)

simplify

lo g_{5} (12) - lo g_{5} (6)

lo g_{5} (2)

Decimal Notation

0.43067 \dots

Solution steps

lo g_{5} (12) - lo g_{5} (6)

Apply log rule:

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

lo g_{5} (12) - lo g_{5} (6) = lo g_{5} (\frac{12}{6})

= lo g_{5} (\frac{12}{6})

Divide the numbers:

\frac{12}{6} = 2

= lo g_{5} (2)

3 lo g_{2} (x) - (lo g_{2} (3) - lo g_{2} (x + 4))

lo g_{3} (x + 1) - lo g_{3} (x^{2} - 1)

lo g_{5} (10 x)

lo g_{10} (\frac{x}{yz})

4 lo g_{b} (x) + 5 lo g_{b} (z)

What is log_{5}(12)-log_{5}(6) ?
The solution to log_{5}(12)-log_{5}(6) is log_{5}(2)