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

The solution to expand log_{10}(sqrt(7)z) is 1/2 log_{10}(7)+log_{10}(z)

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

expand

lo g_{10} (7 z)

\frac{1}{2} lo g_{10} (7) + lo g_{10} (z)

Solution steps

lo g_{10} (7 z)

Apply log rule:

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

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

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

lo g_{10} (7) = \frac{1}{2} lo g_{10} (7)

= \frac{1}{2} lo g_{10} (7) + lo g_{10} (z)

lo g_{b} (\frac{13}{17})

lo g_{10} (2) - 2 lo g_{10} (5)

lo g_{7} (5 y (3 y + 4))

lo g_{4} (x^{2} - 9) - 5 lo g_{4} (x + 3)

ln (\frac{7}{8})

What is expand log_{10}(sqrt(7)z) ?
The solution to expand log_{10}(sqrt(7)z) is 1/2 log_{10}(7)+log_{10}(z)