What is log_{6}(z^4sqrt(x)) ?

The solution to log_{6}(z^4sqrt(x)) is 4log_{6}(z)+log_{6}(sqrt(x))

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simplify log_{6}(z^4sqrt(x))

simplify

lo g_{6} (z^{4} x)

4 lo g_{6} (z) + lo g_{6} (x)

Solution steps

lo g_{6} (z^{4} x)

Apply log rule:

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

lo g_{6} (z^{4} x) = lo g_{6} (z^{4}) + lo g_{6} (x)

= lo g_{6} (z^{4}) + lo g_{6} (x)

Simplify

lo g_{6} (z^{4}) : 4 lo g_{6} (z)

= 4 lo g_{6} (z) + lo g_{6} (x)

lo g_{10} (\frac{5 b}{4})

lo g_{5} (z^{2} x)

lo g_{10} (z^{7} y)

What is log_{6}(z^4sqrt(x)) ?
The solution to log_{6}(z^4sqrt(x)) is 4log_{6}(z)+log_{6}(sqrt(x))