What is log_{10}(4a^5b^4) ?

The solution to log_{10}(4a^5b^4) is 2log_{10}(2)+5log_{10}(a)+4log_{10}(b)

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simplify log_{10}(4a^5b^4)

simplify

lo g_{10} (4 a^{5} b^{4})

2 lo g_{10} (2) + 5 lo g_{10} (a) + 4 lo g_{10} (b)

Solution steps

lo g_{10} (4 a^{5} b^{4})

Apply log rule:

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

lo g_{10} (4 a^{5} b^{4}) = lo g_{10} (4) + lo g_{10} (a^{5}) + lo g_{10} (b^{4})

= lo g_{10} (4) + lo g_{10} (a^{5}) + lo g_{10} (b^{4})

lo g_{10} (4) = 2 lo g_{10} (2)

lo g_{10} (a^{5}) = 5 lo g_{10} (a)

lo g_{10} (b^{4}) = 4 lo g_{10} (b)

= 2 lo g_{10} (2) + 5 lo g_{10} (a) + 4 lo g_{10} (b)

ln (\frac{154}{234})

ln (\frac{x ^{P} e ^{- y}}{z})

2 lo g_{10} (ab)

lo g_{3} (8) - lo g_{3} (7)

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

What is log_{10}(4a^5b^4) ?
The solution to log_{10}(4a^5b^4) is 2log_{10}(2)+5log_{10}(a)+4log_{10}(b)