What is expand log_{10}(z/3 (t-2)) ?

The solution to expand log_{10}(z/3 (t-2)) is log_{10}(z)-log_{10}(3)+log_{10}(t-2)

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expand log_{10}(z/3 (t-2))

expand

lo g_{10} (\frac{z}{3} (t - 2))

lo g_{10} (z) - lo g_{10} (3) + lo g_{10} (t - 2)

Solution steps

lo g_{10} (\frac{z}{3} (t - 2))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (\frac{z}{3} (t - 2)) = lo g_{10} (\frac{z}{3}) + lo g_{10} (t - 2)

= lo g_{10} (\frac{z}{3}) + lo g_{10} (t - 2)

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{z}{3}) = lo g_{10} (z) - lo g_{10} (3)

= lo g_{10} (z) - lo g_{10} (3) + lo g_{10} (t - 2)

lo g_{10} (\frac{7 x}{5})

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

lo g_{4} (5 x)

lo g_{5} (4) + \frac{1}{3} lo g_{5} (x)

ln (\frac{6}{5})

What is expand log_{10}(z/3 (t-2)) ?
The solution to expand log_{10}(z/3 (t-2)) is log_{10}(z)-log_{10}(3)+log_{10}(t-2)