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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

Popular Examples

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join (1/2 arctan((e^x)/2))-(1/2 ln(4+e^{2x}))join

(\frac{1}{2} arctan (\frac{e ^{x}}{2})) - (\frac{1}{2} ln (4 + e^{2 x}))

Frequently Asked Questions (FAQ)

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