What is log_{10}(x)+log_{10}(x-15) ?

The solution to log_{10}(x)+log_{10}(x-15) is log_{10}(x(x-15))

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simplify log_{10}(x)+log_{10}(x-15)

simplify

lo g_{10} (x) + lo g_{10} (x - 15)

lo g_{10} (x (x - 15))

Solution steps

lo g_{10} (x) + lo g_{10} (x - 15)

Apply log rule:

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

lo g_{10} (x) + lo g_{10} (x - 15) = lo g_{10} (x (x - 15))

= lo g_{10} (x (x - 15))

ln (3 y)

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

lo g_{8} (9) - lo g_{8} (11)

\frac{1}{- 0.032} ln (\frac{1}{2})

4 lo g_{b} (x) + 7 lo g_{b} (z)

What is log_{10}(x)+log_{10}(x-15) ?
The solution to log_{10}(x)+log_{10}(x-15) is log_{10}(x(x-15))