What is log_{10}(x+3)+log_{10}(x+5) ?

The solution to log_{10}(x+3)+log_{10}(x+5) is log_{10}((x+3)(x+5))

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simplify log_{10}(x+3)+log_{10}(x+5)

simplify

lo g_{10} (x + 3) + lo g_{10} (x + 5)

lo g_{10} ((x + 3) (x + 5))

Solution steps

lo g_{10} (x + 3) + 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 + 3) + lo g_{10} (x + 5) = lo g_{10} ((x + 3) (x + 5))

= lo g_{10} ((x + 3) (x + 5))

cot (x) \cdot sec (x)

\frac{sec ( x ) - cos ( x )}{tan ( x )}

\frac{x ^{2} - x}{x - 1}

\frac{1}{3 + x} - \frac{1}{3}

(1.1)^{2} \cdot 1 0^{2}

What is log_{10}(x+3)+log_{10}(x+5) ?
The solution to log_{10}(x+3)+log_{10}(x+5) is log_{10}((x+3)(x+5))