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Popular >

simplify log_{10}(ax^b)

Solution

simplify

lo g_{10} (a x^{b})

Solution

lo g_{10} (a) + b lo g_{10} (x)

Solution steps

lo g_{10} (a x^{b})

Apply log rule:

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

lo g_{10} (a x^{b}) = lo g_{10} (a) + lo g_{10} (x^{b})

= lo g_{10} (a) + lo g_{10} (x^{b})

Simplify

lo g_{10} (x^{b}) : b lo g_{10} (x)

= lo g_{10} (a) + b lo g_{10} (x)

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Frequently Asked Questions (FAQ)

What is log_{10}(ax^b) ?
The solution to log_{10}(ax^b) is log_{10}(a)+blog_{10}(x)