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

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

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

simplify

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

lo g_{10} (x^{2} + 9) - lo g_{10} (x + 1)

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

= lo g_{10} (x^{2} + 9) - lo g_{10} (x + 1)

ln (\frac{1}{0.32})

lo g_{4} (\frac{f}{16})

9 ln (x) - \frac{1}{7} ln (y)

4 lo g_{2} (u) + 5 lo g_{2} (v)

2 ln (3) + ln (2) - \frac{ln ( 6 )}{ln ( e )}

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