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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

lo g_{6} (5 z^{- 3})

lo g_{b} (x) + lo g_{b} (y) - lo g_{b} (z)

lo g_{x} (\frac{2}{3})

lo g_{10} (\frac{\frac{1}{9}}{k})

ln (x y) + 9 ln (\frac{y}{z}) - 8 ln (x yz)

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