What is 7log_{10}(c)+log_{10}(q) ?

The solution to 7log_{10}(c)+log_{10}(q) is log_{10}(c^7q)

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simplify 7log_{10}(c)+log_{10}(q)

simplify

7 lo g_{10} (c) + lo g_{10} (q)

lo g_{10} (c^{7} q)

Solution steps

7 lo g_{10} (c) + lo g_{10} (q)

Apply log rule:

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

7 lo g_{10} (c) = lo g_{10} (c^{7})

= lo g_{10} (c^{7}) + lo g_{10} (q)

Apply log rule:

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

lo g_{10} (c^{7}) + lo g_{10} (q) = lo g_{10} (c^{7} q)

= lo g_{10} (c^{7} q)

ln (\frac{6}{e ^{5}})

10 lo g_{10} (\frac{i}{1 0 ^{- 12}})

ln (\frac{e ^{3}}{10})

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

ln (\frac{2 x - 1}{x ^{3}})

What is 7log_{10}(c)+log_{10}(q) ?
The solution to 7log_{10}(c)+log_{10}(q) is log_{10}(c^7q)