What is log_{10}(k)-5log_{10}(g) ?

The solution to log_{10}(k)-5log_{10}(g) is log_{10}(k/(g^5))

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simplify log_{10}(k)-5log_{10}(g)

simplify

lo g_{10} (k) - 5 lo g_{10} (g)

lo g_{10} (\frac{k}{g ^{5}})

Solution steps

lo g_{10} (k) - 5 lo g_{10} (g)

Apply log rule:

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

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

= lo g_{10} (k) - lo g_{10} (g^{5})

Apply log rule:

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

lo g_{10} (k) - lo g_{10} (g^{5}) = lo g_{10} (\frac{k}{g ^{5}})

= lo g_{10} (\frac{k}{g ^{5}})

lo g_{4} (5 x)

\frac{1}{2} ln (x) - \frac{2}{3} ln (y) - \frac{1}{4} ln (z)

ln (x - 3) + 2 ln (x)

ln (x - 1) - ln (x)

2 lo g_{2} (3 x) - 3 lo g_{2} (5 x)

What is log_{10}(k)-5log_{10}(g) ?
The solution to log_{10}(k)-5log_{10}(g) is log_{10}(k/(g^5))