What is log_{10}(ab^6*c^3) ?

The solution to log_{10}(ab^6*c^3) is log_{10}(a)+6log_{10}(b)+3log_{10}(c)

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simplify log_{10}(ab^6*c^3)

simplify

lo g_{10} (a b^{6} \cdot c^{3})

lo g_{10} (a) + 6 lo g_{10} (b) + 3 lo g_{10} (c)

Solution steps

lo g_{10} (a b^{6} c^{3})

Apply log rule:

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

lo g_{10} (a b^{6} c^{3}) = lo g_{10} (a) + lo g_{10} (b^{6}) + lo g_{10} (c^{3})

= lo g_{10} (a) + lo g_{10} (b^{6}) + lo g_{10} (c^{3})

lo g_{10} (b^{6}) = 6 lo g_{10} (b)

lo g_{10} (c^{3}) = 3 lo g_{10} (c)

= lo g_{10} (a) + 6 lo g_{10} (b) + 3 lo g_{10} (c)

lo g_{10} (\frac{x ^{2} + 1}{1000000})

lo g_{4} (\frac{256 v ^{7}}{w})

lo g_{6} (36 x^{7})

lo g_{3} (2) + lo g_{3} (11)

6 lo g_{10} (- 0.5 x)

What is log_{10}(ab^6*c^3) ?
The solution to log_{10}(ab^6*c^3) is log_{10}(a)+6log_{10}(b)+3log_{10}(c)