What is log_{7}(18)-log_{7}(6) ?

The solution to log_{7}(18)-log_{7}(6) is log_{7}(3)

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simplify log_{7}(18)-log_{7}(6)

simplify

lo g_{7} (18) - lo g_{7} (6)

lo g_{7} (3)

Decimal Notation

0.56457 \dots

Solution steps

lo g_{7} (18) - lo g_{7} (6)

Apply log rule:

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

lo g_{7} (18) - lo g_{7} (6) = lo g_{7} (\frac{18}{6})

= lo g_{7} (\frac{18}{6})

Divide the numbers:

\frac{18}{6} = 3

= lo g_{7} (3)

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

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

6 lo g_{b} (x) + 9 lo g_{b} (z)

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

ln (\frac{k ^{3}}{m ^{8}})

What is log_{7}(18)-log_{7}(6) ?
The solution to log_{7}(18)-log_{7}(6) is log_{7}(3)