What is log_{18}((13sqrt(r))/s) ?

The solution to log_{18}((13sqrt(r))/s) is log_{18}(13)+log_{18}(sqrt(r))-log_{18}(s)

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simplify log_{18}((13sqrt(r))/s)

simplify

lo g_{18} (\frac{13 r}{s})

lo g_{18} (13) + lo g_{18} (r) - lo g_{18} (s)

Solution steps

lo g_{18} (\frac{13 r}{s})

Apply log rule:

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

lo g_{18} (\frac{13 r}{s}) = lo g_{18} (13 r) - lo g_{18} (s)

= lo g_{18} (13 r) - lo g_{18} (s)

Simplify

lo g_{18} (13 r) : lo g_{18} (13) + lo g_{18} (r)

= lo g_{18} (13) + lo g_{18} (r) - lo g_{18} (s)

6 ln (x) + 5 ln (y) - 2 ln (z)

lo g_{8} (x) + 3 lo g_{8} (2 x - 5) - 7 lo g_{8} (x - 3)

ln (\frac{e ^{x} ln ( 3 )}{3})

- lo g_{10} (7.5 \cdot 1 0^{- 3})

- lo g_{10} (4.3 \cdot 1 0^{- 7})

What is log_{18}((13sqrt(r))/s) ?
The solution to log_{18}((13sqrt(r))/s) is log_{18}(13)+log_{18}(sqrt(r))-log_{18}(s)