What is log_{10}(23pq) ?

The solution to log_{10}(23pq) is log_{10}(23)+log_{10}(p)+log_{10}(q)

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simplify log_{10}(23pq)

simplify

lo g_{10} (23 pq)

lo g_{10} (23) + lo g_{10} (p) + lo g_{10} (q)

Solution steps

lo g_{10} (23 pq)

Apply log rule:

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

lo g_{10} (23 pq) = lo g_{10} (23) + lo g_{10} (p) + lo g_{10} (q)

= lo g_{10} (23) + lo g_{10} (p) + lo g_{10} (q)

lo g_{b} (\frac{32}{125})

- 5 ln (x) - 9 ln (y) + \frac{1}{9} ln (z)

lo g_{10} (\frac{z ^{3}}{x ^{2} y ^{5}})

- ln \frac{8}{3} + \frac{8}{3} (0) + ln \frac{2}{3} + \frac{8}{3} (0)

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

What is log_{10}(23pq) ?
The solution to log_{10}(23pq) is log_{10}(23)+log_{10}(p)+log_{10}(q)