What is log_{10}(x)+log_{10}(x+5) ?

The solution to log_{10}(x)+log_{10}(x+5) is log_{10}(x(x+5))

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simplify log_{10}(x)+log_{10}(x+5)

simplify

lo g_{10} (x) + lo g_{10} (x + 5)

lo g_{10} (x (x + 5))

Solution steps

lo g_{10} (x) + lo g_{10} (x + 5)

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (x + 5) = lo g_{10} (x (x + 5))

= lo g_{10} (x (x + 5))

lo g_{10} (x) + lo g_{10} (x + 1)

ln (\frac{x}{x ^{2} + 7})

lo g_{9} (\frac{9 x ^{5}}{y})

lo g_{6} (x) - lo g_{6} (x^{4})

4 lo g_{8} (3) - lo g_{8} (6)

What is log_{10}(x)+log_{10}(x+5) ?
The solution to log_{10}(x)+log_{10}(x+5) is log_{10}(x(x+5))