What is 5log_{b}(q)+2log_{b}(y) ?

The solution to 5log_{b}(q)+2log_{b}(y) is log_{b}(q^5y^2)

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simplify 5log_{b}(q)+2log_{b}(y)

simplify

5 lo g_{b} (q) + 2 lo g_{b} (y)

lo g_{b} (q^{5} y^{2})

Solution steps

5 lo g_{b} (q) + 2 lo g_{b} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 lo g_{b} (q) = lo g_{b} (q^{5})

= lo g_{b} (q^{5}) + 2 lo g_{b} (y)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{b} (y) = lo g_{b} (y^{2})

= lo g_{b} (q^{5}) + lo g_{b} (y^{2})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{b} (q^{5}) + lo g_{b} (y^{2}) = lo g_{b} (q^{5} y^{2})

= lo g_{b} (q^{5} y^{2})

- 0.35 lo g_{2} (0.35) - 0.65 lo g_{2} (0.65)

5 lo g_{b} (q) - lo g_{b} (r)

lo g_{2} (a) + lo g_{2} (b)

lo g_{10} (x (x + 1)^{4})

lo g_{3} ((x - 8)^{2})

What is 5log_{b}(q)+2log_{b}(y) ?
The solution to 5log_{b}(q)+2log_{b}(y) is log_{b}(q^5y^2)