What is log_{10}((9z)/3) ?

The solution to log_{10}((9z)/3) is log_{10}(3)+log_{10}(z)

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simplify log_{10}((9z)/3)

simplify

lo g_{10} (\frac{9 z}{3})

lo g_{10} (3) + lo g_{10} (z)

Solution steps

lo g_{10} (\frac{9 z}{3})

Simplify

\frac{9 z}{3} : 3 z

= lo g_{10} (3 z)

Apply log rule:

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

lo g_{10} (3 z) = lo g_{10} (3) + lo g_{10} (z)

= lo g_{10} (3) + lo g_{10} (z)

(\frac{1}{4}) (5 lo g_{10} (x) + 3 lo g_{10} (y))

3 lo g_{9} (x) - 2 lo g_{9} (y)

ln (x) + ln (x + 6)

ln (x) + ln (x + 3)

6 ln (x) - \frac{1}{4} ln (y) + 7 ln (z)

What is log_{10}((9z)/3) ?
The solution to log_{10}((9z)/3) is log_{10}(3)+log_{10}(z)