What is log_{6}(ab^3c^2) ?

The solution to log_{6}(ab^3c^2) is log_{6}(a)+3log_{6}(b)+2log_{6}(c)

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simplify log_{6}(ab^3c^2)

simplify

lo g_{6} (a b^{3} c^{2})

lo g_{6} (a) + 3 lo g_{6} (b) + 2 lo g_{6} (c)

Solution steps

lo g_{6} (a b^{3} c^{2})

Apply log rule:

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

lo g_{6} (a b^{3} c^{2}) = lo g_{6} (a) + lo g_{6} (b^{3}) + lo g_{6} (c^{2})

= lo g_{6} (a) + lo g_{6} (b^{3}) + lo g_{6} (c^{2})

lo g_{6} (b^{3}) = 3 lo g_{6} (b)

lo g_{6} (c^{2}) = 2 lo g_{6} (c)

= lo g_{6} (a) + 3 lo g_{6} (b) + 2 lo g_{6} (c)

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

ln (4) + ln (8) - ln (16)

4 lo g_{4} (8) - lo g_{4} (3)

3 ln (x - 1) + 4 ln (x - 6) - \frac{1}{3} ln (2 x - 1)

\frac{6}{lo g _{10} ( 0.593 ) - lo g _{10} ( 0.451 )}

What is log_{6}(ab^3c^2) ?
The solution to log_{6}(ab^3c^2) is log_{6}(a)+3log_{6}(b)+2log_{6}(c)