What is log_{10}(0.24x10^6) ?

The solution to log_{10}(0.24x10^6) is log_{10}(24)+log_{10}(x)+4

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simplify log_{10}(0.24x10^6)

simplify

lo g_{10} (0.24 x 1 0^{6})

lo g_{10} (24) + lo g_{10} (x) + 4

Solution steps

lo g_{10} (0.24 x \cdot 1 0^{6})

Apply log rule:

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

lo g_{10} (0.24 x \cdot 1 0^{6}) = lo g_{10} (0.24 x) + lo g_{10} (1 0^{6})

= lo g_{10} (0.24 x) + lo g_{10} (1 0^{6})

Simplify

lo g_{10} (0.24 x) : lo g_{10} (24 x) - 2

= (lo g_{10} (24 x) - 2) + lo g_{10} (1 0^{6})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{6}) = 6

= (lo g_{10} (24 x) - 2) + 6

Simplify

(lo g_{10} (24 x) - 2) + 6 : lo g_{10} (24 x) + 4

= lo g_{10} (24 x) + 4

Simplify

lo g_{10} (24 x) : lo g_{10} (24) + lo g_{10} (x)

= lo g_{10} (24) + lo g_{10} (x) + 4

lo g_{2} (\frac{a ^{2} - 4}{9})

\frac{1}{3} lo g_{c} (x) + 2 lo g_{c} (y) - 4 lo g_{c} (x)

lo g_{10} (3) + lo g_{10} (6) - lo g_{10} (2)

ln (y^{3}) + \frac{1}{3} ln (x^{3} y^{6}) - 5 ln (y)

lo g_{10} (x) - 3 lo g_{10} (2 y) + 4 lo g_{10} (z)

What is log_{10}(0.24x10^6) ?
The solution to log_{10}(0.24x10^6) is log_{10}(24)+log_{10}(x)+4