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Popular >

expand log_{7}(xy^3)

Solution

expand

lo g_{7} (x y^{3})

Solution

lo g_{7} (x) + 3 lo g_{7} (y)

Solution steps

lo g_{7} (x y^{3})

Apply log rule:

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

lo g_{7} (x y^{3}) = lo g_{7} (x) + lo g_{7} (y^{3})

= lo g_{7} (x) + lo g_{7} (y^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{7} (y^{3}) = 3 lo g_{7} (y)

= lo g_{7} (x) + 3 lo g_{7} (y)

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand log_{7}(xy^3) ?
The solution to expand log_{7}(xy^3) is log_{7}(x)+3log_{7}(y)