What is log_{b}(u^2sqrt(v)) ?

The solution to log_{b}(u^2sqrt(v)) is 2log_{b}(u)+log_{b}(sqrt(v))

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simplify log_{b}(u^2sqrt(v))

simplify

lo g_{b} (u^{2} v)

2 lo g_{b} (u) + lo g_{b} (v)

Solution steps

lo g_{b} (u^{2} v)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (u^{2} v) = lo g_{b} (u^{2}) + lo g_{b} (v)

= lo g_{b} (u^{2}) + lo g_{b} (v)

Simplify

lo g_{b} (u^{2}) : 2 lo g_{b} (u)

= 2 lo g_{b} (u) + lo g_{b} (v)

lo g_{a} (u^{2} v^{3})

4 ln (x) - 4 ln (y)

lo g_{5} (x) - lo g_{5} (x^{4})

- 0.55 lo g_{2} (0.55) - 0.45 lo g_{2} (0.45)

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

What is log_{b}(u^2sqrt(v)) ?
The solution to log_{b}(u^2sqrt(v)) is 2log_{b}(u)+log_{b}(sqrt(v))