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

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

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

expand

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_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

- ln (\frac{4}{5})

6 lo g_{9} (z) + 6 lo g_{9} (x) - 2 lo g_{9} (y)

\frac{1}{3} lo g_{b} (x) + 2 lo g_{b} (y) - 3 lo g_{b} (x)

ln (\frac{( 2 y + 1 ) ^{5}}{y ^{2} + 1})

lo g_{10} (3) - lo g_{10} (4)

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