What is 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z) ?

The solution to 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z) is log_{2}(y)+5log_{4}(x)-1/2 log_{4}(z)

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simplify 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z)

simplify

2 lo g_{4} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

lo g_{2} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

Solution steps

2 lo g_{4} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

Simplify

2 lo g_{4} (y) : lo g_{2} (y)

= lo g_{2} (y) + 5 lo g_{4} (x) - \frac{1}{2} lo g_{4} (z)

lo g_{10} (\frac{x ^{2}}{y})

ln (\frac{10}{9})

\frac{1}{2} lo g_{10} (c) + 4 lo g_{10} (d)

ln (\frac{x ^{2}}{3 x + 2})

ln (\frac{1}{16})

What is 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z) ?
The solution to 2log_{4}(y)+5log_{4}(x)-1/2 log_{4}(z) is log_{2}(y)+5log_{4}(x)-1/2 log_{4}(z)