What is log_{6}(csqrt(a*b)) ?

The solution to log_{6}(csqrt(a*b)) is log_{6}(c)+log_{6}(sqrt(ab))

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simplify log_{6}(csqrt(a*b))

simplify

lo g_{6} (c a \cdot b)

lo g_{6} (c) + lo g_{6} (ab)

Solution steps

lo g_{6} (c ab)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{6} (c ab) = lo g_{6} (c) + lo g_{6} (ab)

= lo g_{6} (c) + lo g_{6} (ab)

lo g_{8} (\frac{x}{64})

lo g_{10} (x) + 2 lo g_{10} (y) - 3

ln (\frac{( x ^{2} - 1 )}{x ^{9}})

7 lo g_{7} (5 x)

lo g_{10} (\frac{2 a ^{2}}{b})

What is log_{6}(csqrt(a*b)) ?
The solution to log_{6}(csqrt(a*b)) is log_{6}(c)+log_{6}(sqrt(ab))