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Popular >

simplify log_{b}(u^6v^5)

Solution

simplify

lo g_{b} (u^{6} v^{5})

Solution

6 lo g_{b} (u) + 5 lo g_{b} (v)

Solution steps

lo g_{b} (u^{6} v^{5})

Apply log rule:

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

lo g_{b} (u^{6} v^{5}) = lo g_{b} (u^{6}) + lo g_{b} (v^{5})

= lo g_{b} (u^{6}) + lo g_{b} (v^{5})

lo g_{b} (u^{6}) = 6 lo g_{b} (u)

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

= 6 lo g_{b} (u) + 5 lo g_{b} (v)

Popular Examples

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

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ln (x^{2}) + ln (y^{2})

expand log_{10}((u^4)/v)expand

lo g_{10} (\frac{u ^{4}}{v})

Frequently Asked Questions (FAQ)

What is log_{b}(u^6v^5) ?
The solution to log_{b}(u^6v^5) is 6log_{b}(u)+5log_{b}(v)