What is log_{10}((sqrt(x^2+9))/(x+3)) ?

The solution to log_{10}((sqrt(x^2+9))/(x+3)) is log_{10}(sqrt(x^2+9))-log_{10}(x+3)

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simplify log_{10}((sqrt(x^2+9))/(x+3))

simplify

lo g_{10} (\frac{x ^{2} + 9}{x + 3})

lo g_{10} (x^{2} + 9) - lo g_{10} (x + 3)

Solution steps

lo g_{10} (\frac{x ^{2} + 9}{x + 3})

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 + 3}) = lo g_{10} (x^{2} + 9) - lo g_{10} (x + 3)

= lo g_{10} (x^{2} + 9) - lo g_{10} (x + 3)

lo g_{b} (x^{4} y)

lo g_{7} ((\frac{1}{2} m^{5})^{4})

lo g_{10} ((x + 2)^{2}) + lo g_{10} ((x + 1)^{3})

4 ln (7 - 2)

lo g_{2} (\frac{x ^{8} y ^{3}}{8 w ^{2}})

What is log_{10}((sqrt(x^2+9))/(x+3)) ?
The solution to log_{10}((sqrt(x^2+9))/(x+3)) is log_{10}(sqrt(x^2+9))-log_{10}(x+3)