What is log_{4}(p^2)-log_{4}(4sqrt(q)) ?

The solution to log_{4}(p^2)-log_{4}(4sqrt(q)) is log_{2}(p)-1-log_{4}(sqrt(q))

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simplify log_{4}(p^2)-log_{4}(4sqrt(q))

simplify

lo g_{4} (p^{2}) - lo g_{4} (4 q)

lo g_{2} (p) - 1 - lo g_{4} (q)

Solution steps

lo g_{4} (p^{2}) - lo g_{4} (4 q)

Simplify

lo g_{4} (4 q) : 1 + lo g_{4} (q)

= lo g_{4} (p^{2}) - (1 + lo g_{4} (q))

lo g_{4} (p^{2}) = lo g_{2} (p)

- (1 + lo g_{4} (q)) = - 1 - lo g_{4} (q)

= lo g_{2} (p) - 1 - lo g_{4} (q)

ln (34) ln (17)

2 lo g_{3} (3 x) - lo g_{3} (2 x) + lo g_{3} (x^{2} + 1)

lo g_{10} (x^{2} + 3 x + 2) - lo g_{10} (x^{2} - 4)

lo g_{6} (x^{4} y^{3})

lo g_{a} (0.78) - lo g_{a} (6)

What is log_{4}(p^2)-log_{4}(4sqrt(q)) ?
The solution to log_{4}(p^2)-log_{4}(4sqrt(q)) is log_{2}(p)-1-log_{4}(sqrt(q))