What is log_{10}(x+3)+log_{10}(x) ?

The solution to log_{10}(x+3)+log_{10}(x) is log_{10}((x+3)x)

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simplify log_{10}(x+3)+log_{10}(x)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (x^{5} (1 - x)^{3})

- \frac{8}{9} lo g_{2} (\frac{8}{9}) - \frac{1}{9} lo g_{2} (\frac{1}{9})

\frac{1}{2} lo g_{b} (x) + 3 lo g_{b} (y) - 2 lo g_{b} (x)

lo g_{8} (10) - lo g_{8} (2)

\frac{1}{4} lo g_{b} (x) + 4 lo g_{b} (y) - 3 lo g_{b} (x)

What is log_{10}(x+3)+log_{10}(x) ?
The solution to log_{10}(x+3)+log_{10}(x) is log_{10}((x+3)x)