What is expand log_{2}((b/c)^2) ?

The solution to expand log_{2}((b/c)^2) is 2(log_{2}(b)-log_{2}(c))

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expand log_{2}((b/c)^2)

expand

lo g_{2} ((\frac{b}{c})^{2})

2 (lo g_{2} (b) - lo g_{2} (c))

Solution steps

lo g_{2} ((\frac{b}{c})^{2})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{2} ((\frac{b}{c})^{2}) = 2 lo g_{2} (\frac{b}{c})

= 2 lo g_{2} (\frac{b}{c})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{2} (\frac{b}{c}) = lo g_{2} (b) - lo g_{2} (c)

= 2 (lo g_{2} (b) - lo g_{2} (c))

- lo g_{10} (1.9 \cdot 1 0^{- 4})

lo g_{10} (a b^{2})

ln (x^{6} y^{3})

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

lo g_{5} (\frac{1}{25} a^{3} b^{2})

What is expand log_{2}((b/c)^2) ?
The solution to expand log_{2}((b/c)^2) is 2(log_{2}(b)-log_{2}(c))