What is 5log_{10}(ax)+3log_{10}(a)y ?

The solution to 5log_{10}(ax)+3log_{10}(a)y is 5log_{10}(a)+5log_{10}(x)+3log_{10}(a)y

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simplify 5log_{10}(ax)+3log_{10}(a)y

simplify

5 lo g_{10} (a x) + 3 lo g_{10} (a) y

5 lo g_{10} (a) + 5 lo g_{10} (x) + 3 lo g_{10} (a) y

Solution steps

5 lo g_{10} (a x) + 3 lo g_{10} (a) y

Apply log rule:

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

5 lo g_{10} (a x) = 5 lo g_{10} (a) + 5 lo g_{10} (x)

= 5 lo g_{10} (a) + 5 lo g_{10} (x) + 3 y lo g_{10} (a)

\frac{19}{2} lo g_{2} (\frac{7}{5}) - \frac{19}{2}

lo g_{r} (11 x)

ln (x) + ln (y) + ln (z)

- \frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

What is 5log_{10}(ax)+3log_{10}(a)y ?
The solution to 5log_{10}(ax)+3log_{10}(a)y is 5log_{10}(a)+5log_{10}(x)+3log_{10}(a)y