What is log_{10}((8m)/n) ?

The solution to log_{10}((8m)/n) is 3log_{10}(2)+log_{10}(m)-log_{10}(n)

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simplify log_{10}((8m)/n)

simplify

lo g_{10} (\frac{8 m}{n})

3 lo g_{10} (2) + lo g_{10} (m) - lo g_{10} (n)

Solution steps

lo g_{10} (\frac{8 m}{n})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{8 m}{n}) = lo g_{10} (8 m) - lo g_{10} (n)

= lo g_{10} (8 m) - lo g_{10} (n)

Simplify

lo g_{10} (8 m) : 3 lo g_{10} (2) + lo g_{10} (m)

= 3 lo g_{10} (2) + lo g_{10} (m) - lo g_{10} (n)

\frac{10}{ln ( 302 )} - \frac{3000}{151 ln ^{2} ( 302 )} + 3

lo g_{2} (\frac{x}{( y + 1 ) z})

ln (x) + 8 ln (y)

ln (2) + ln (8) - ln (4)

ln (\frac{110}{130})

What is log_{10}((8m)/n) ?
The solution to log_{10}((8m)/n) is 3log_{10}(2)+log_{10}(m)-log_{10}(n)