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Popular >

simplify log_{a}(x^2y^3)

Solution

simplify

lo g_{a} (x^{2} y^{3})

Solution

2 lo g_{a} (x) + 3 lo g_{a} (y)

Solution steps

lo g_{a} (x^{2} y^{3})

Apply log rule:

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

lo g_{a} (x^{2} y^{3}) = lo g_{a} (x^{2}) + lo g_{a} (y^{3})

= lo g_{a} (x^{2}) + lo g_{a} (y^{3})

lo g_{a} (x^{2}) = 2 lo g_{a} (x)

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

= 2 lo g_{a} (x) + 3 lo g_{a} (y)

Popular Examples

simplify log_{10}((9z)/3)simplify

lo g_{10} (\frac{9 z}{3})

simplify (1/4)(5log_{10}(x)+3log_{10}(y))simplify

(\frac{1}{4}) (5 lo g_{10} (x) + 3 lo g_{10} (y))

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3 lo g_{9} (x) - 2 lo g_{9} (y)

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ln (x) + ln (x + 6)

simplify ln(x)+ln(x+3)simplify

ln (x) + ln (x + 3)

Frequently Asked Questions (FAQ)

What is log_{a}(x^2y^3) ?
The solution to log_{a}(x^2y^3) is 2log_{a}(x)+3log_{a}(y)