What is log_{10}(ab^2c^3) ?

The solution to log_{10}(ab^2c^3) is log_{10}(a)+2log_{10}(b)+3log_{10}(c)

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simplify log_{10}(ab^2c^3)

simplify

lo g_{10} (a b^{2} c^{3})

lo g_{10} (a) + 2 lo g_{10} (b) + 3 lo g_{10} (c)

Solution steps

lo g_{10} (a b^{2} c^{3})

Apply log rule:

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

lo g_{10} (a b^{2} c^{3}) = lo g_{10} (a) + lo g_{10} (b^{2}) + lo g_{10} (c^{3})

= lo g_{10} (a) + lo g_{10} (b^{2}) + lo g_{10} (c^{3})

lo g_{10} (b^{2}) = 2 lo g_{10} (b)

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

= lo g_{10} (a) + 2 lo g_{10} (b) + 3 lo g_{10} (c)

ln (1 \frac{1}{2})

lo g_{10} (30000 \cdot p \cdot q \cdot (1 - p - q))

ln (\frac{47.932}{75.29})

lo g_{10} (\frac{3 r ^{2}}{r - 8})

lo g_{b} (\frac{p ^{3} q ^{5}}{m ^{3} b ^{7}})

What is log_{10}(ab^2c^3) ?
The solution to log_{10}(ab^2c^3) is log_{10}(a)+2log_{10}(b)+3log_{10}(c)