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Popular >

simplify log_{10}(xy^7)

Solution

simplify

lo g_{10} (x y^{7})

Solution

lo g_{10} (x) + 7 lo g_{10} (y)

Solution steps

lo g_{10} (x y^{7})

Apply log rule:

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

lo g_{10} (x y^{7}) = lo g_{10} (x) + lo g_{10} (y^{7})

= lo g_{10} (x) + lo g_{10} (y^{7})

Simplify

lo g_{10} (y^{7}) : 7 lo g_{10} (y)

= lo g_{10} (x) + 7 lo g_{10} (y)

Popular Examples

simplify log_{b}(1/21)simplify

lo g_{b} (\frac{1}{21})

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3 ln (x) - ln (3 x) + ln (12 x^{2})

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

simplify log_{10}(xy^5)simplify

lo g_{10} (x y^{5})

Frequently Asked Questions (FAQ)

What is log_{10}(xy^7) ?
The solution to log_{10}(xy^7) is log_{10}(x)+7log_{10}(y)