What is log_{4}((64x^2)/y) ?

The solution to log_{4}((64x^2)/y) is 3+log_{2}(x)-log_{4}(y)

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simplify log_{4}((64x^2)/y)

simplify

lo g_{4} (\frac{64 x ^{2}}{y})

3 + lo g_{2} (x) - lo g_{4} (y)

Solution steps

lo g_{4} (\frac{64 x ^{2}}{y})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{4} (\frac{64 x ^{2}}{y}) = lo g_{4} (64 x^{2}) - lo g_{4} (y)

= lo g_{4} (64 x^{2}) - lo g_{4} (y)

Simplify

lo g_{4} (64 x^{2}) : 3 + lo g_{2} (x)

= 3 + lo g_{2} (x) - lo g_{4} (y)

16.7 + 10 lo g_{10} (\frac{10400}{120})

ln (\frac{4 x ^{2}}{( x + 3 ) ^{3}})

ln (\frac{1 - x}{3})

lo g_{a} (a) b + lo g_{a} (\frac{a}{b})

lo g_{7} (\frac{h - 3}{49})

What is log_{4}((64x^2)/y) ?
The solution to log_{4}((64x^2)/y) is 3+log_{2}(x)-log_{4}(y)