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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{a b ^{3}}{c ^{2}}) = lo g_{10} (a b^{3}) - lo g_{10} (c^{2})

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

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

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

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

ln (3) - ln (x)

\frac{7}{2} ln (ln (e^{x})) - ln (e^{6 l n (x)})

lo g_{5} (\frac{a ^{3}}{b ^{3}})

lo g_{7} ((m + n) \cdot p)

lo g_{10} (\frac{x}{10000 y ^{9}})

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