What is log_{10}(sqrt(7)z) ?

The solution to log_{10}(sqrt(7)z) is log_{10}(sqrt(7))+log_{10}(z)

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simplify log_{10}(sqrt(7)z)

simplify

lo g_{10} (7 z)

lo g_{10} (7) + lo g_{10} (z)

Solution steps

lo g_{10} (7 z)

Apply log rule:

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

lo g_{10} (7 z) = lo g_{10} (7) + lo g_{10} (z)

= lo g_{10} (7) + lo g_{10} (z)

ln (3 x^{5})

lo g_{3} (\frac{9}{x + 3})

- 5 lo g_{2} (x + 1) + 3 lo g_{2} (6 x)

\frac{1}{2} lo g_{2} (7)

2 ln (8) + 5 ln (z - 4)

What is log_{10}(sqrt(7)z) ?
The solution to log_{10}(sqrt(7)z) is log_{10}(sqrt(7))+log_{10}(z)