What is 1/2 (log_{10}(x)+log_{10}(9)) ?

The solution to 1/2 (log_{10}(x)+log_{10}(9)) is 1/2 log_{10}(9x)

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simplify 1/2 (log_{10}(x)+log_{10}(9))

simplify

\frac{1}{2} (lo g_{10} (x) + lo g_{10} (9))

\frac{1}{2} lo g_{10} (9 x)

Solution steps

\frac{1}{2} (lo g_{10} (x) + lo g_{10} (9))

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (9) = lo g_{10} (x \cdot 9)

= \frac{1}{2} lo g_{10} (x \cdot 9)

= \frac{1}{2} lo g_{10} (9 x)

0.491 \cdot lo g_{10} (21) - 0.491 \cdot lo g_{10} (20)

lo g_{x} (x^{2} y)

- \frac{3}{6} lo g_{10} (\frac{3}{6}) - \frac{3}{6} lo g_{10} (\frac{3}{6})

ln (\frac{e ^{2}}{9})

lo g_{10} (3 x) - lo g_{10} (x)

What is 1/2 (log_{10}(x)+log_{10}(9)) ?
The solution to 1/2 (log_{10}(x)+log_{10}(9)) is 1/2 log_{10}(9x)