What is 6log_{10}(d)-3log_{10}(k) ?

The solution to 6log_{10}(d)-3log_{10}(k) is log_{10}((d^6)/(k^3))

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simplify 6log_{10}(d)-3log_{10}(k)

simplify

6 lo g_{10} (d) - 3 lo g_{10} (k)

lo g_{10} (\frac{d ^{6}}{k ^{3}})

Solution steps

6 lo g_{10} (d) - 3 lo g_{10} (k)

Apply log rule:

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

6 lo g_{10} (d) = lo g_{10} (d^{6})

= lo g_{10} (d^{6}) - 3 lo g_{10} (k)

Apply log rule:

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

3 lo g_{10} (k) = lo g_{10} (k^{3})

= lo g_{10} (d^{6}) - lo g_{10} (k^{3})

Apply log rule:

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

lo g_{10} (d^{6}) - lo g_{10} (k^{3}) = lo g_{10} (\frac{d ^{6}}{k ^{3}})

= lo g_{10} (\frac{d ^{6}}{k ^{3}})

lo g_{10} (\frac{x ^{3} y}{z})

- lo g_{10} (3.7 \cdot 1 0^{- 5})

lo g_{10} (x^{2} x^{3} + 1)

4 lo g_{10} (x) - lo g_{10} (\frac{1}{x}) - lo g_{10} (y)

lo g_{7} ((5) (c))

What is 6log_{10}(d)-3log_{10}(k) ?
The solution to 6log_{10}(d)-3log_{10}(k) is log_{10}((d^6)/(k^3))