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Popular >

simplify log_{3}(x^8y^6)

Solution

simplify

lo g_{3} (x^{8} y^{6})

Solution

8 lo g_{3} (x) + 6 lo g_{3} (y)

Solution steps

lo g_{3} (x^{8} y^{6})

Apply log rule:

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

lo g_{3} (x^{8} y^{6}) = lo g_{3} (x^{8}) + lo g_{3} (y^{6})

= lo g_{3} (x^{8}) + lo g_{3} (y^{6})

lo g_{3} (x^{8}) = 8 lo g_{3} (x)

lo g_{3} (y^{6}) = 6 lo g_{3} (y)

= 8 lo g_{3} (x) + 6 lo g_{3} (y)

Popular Examples

simplify log_{3}(a^2b)simplify

lo g_{3} (a^{2} b)

simplify 2log_{10}(x)-5log_{10}(y)+3log_{10}(z)simplify

2 lo g_{10} (x) - 5 lo g_{10} (y) + 3 lo g_{10} (z)

simplify log_{5}(40)+log_{5}(8)simplify

lo g_{5} (40) + lo g_{5} (8)

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lo g_{10} (\frac{a \cdot b}{c})

simplify log_{2}(7)+log_{2}(x)-log_{2}(7)simplify

lo g_{2} (7) + lo g_{2} (x) - lo g_{2} (7)

Frequently Asked Questions (FAQ)

What is log_{3}(x^8y^6) ?
The solution to log_{3}(x^8y^6) is 8log_{3}(x)+6log_{3}(y)