What is log_{8}(x)-log_{1/4}(y)+log_{2}(z) ?

The solution to log_{8}(x)-log_{1/4}(y)+log_{2}(z) is log_{8}(x)+log_{4}(y)+log_{2}(z)

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simplify log_{8}(x)-log_{1/4}(y)+log_{2}(z)

simplify

lo g_{8} (x) - lo g_{\frac{1}{4}} (y) + lo g_{2} (z)

lo g_{8} (x) + lo g_{4} (y) + lo g_{2} (z)

Solution steps

lo g_{8} (x) - lo g_{\frac{1}{4}} (y) + lo g_{2} (z)

Simplify

lo g_{\frac{1}{4}} (y) : - lo g_{4} (y)

= lo g_{8} (x) - (- lo g_{4} (y)) + lo g_{2} (z)

Apply rule:

a - (- b) = a + b

lo g_{8} (x) - (- lo g_{4} (y)) = lo g_{8} (x) + lo g_{4} (y)

= lo g_{8} (x) + lo g_{4} (y) + lo g_{2} (z)

\frac{( 36 x ^{3} y ^{7} z ^{4} )}{( 12 x ^{2} y ^{2} )}

24 \times 24

(1 - y^{2})^{2}

5 \cdot 1 0^{- 9}

- 4 \times 6

What is log_{8}(x)-log_{1/4}(y)+log_{2}(z) ?
The solution to log_{8}(x)-log_{1/4}(y)+log_{2}(z) is log_{8}(x)+log_{4}(y)+log_{2}(z)