What is expand log_{4}(zsqrt(x*y)) ?

The solution to expand log_{4}(zsqrt(x*y)) is log_{4}(z)+log_{4}(sqrt(xy))

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expand log_{4}(zsqrt(x*y))

expand

lo g_{4} (z x \cdot y)

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

Solution steps

lo g_{4} (z x y)

Apply log rule:

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

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

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

3 ln (2) + ln (x)

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

2 ln (x) - ln (x + 2)

ln (\frac{( x + 1 )}{( x - 1 )})

- lo g_{10} (2.6 \cdot 1 0^{- 3})

What is expand log_{4}(zsqrt(x*y)) ?
The solution to expand log_{4}(zsqrt(x*y)) is log_{4}(z)+log_{4}(sqrt(xy))