What is ln(x/(sqrt(x^2+7))) ?

The solution to ln(x/(sqrt(x^2+7))) is ln(x)-ln(sqrt(x^2+7))

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simplify ln(x/(sqrt(x^2+7)))

simplify

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

ln (x) - ln (x^{2} + 7)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

= ln (x) - ln (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)

lo g_{5} (x^{2}) - lo g_{5} (x)

lo g_{10} (\frac{1}{b})

What is ln(x/(sqrt(x^2+7))) ?
The solution to ln(x/(sqrt(x^2+7))) is ln(x)-ln(sqrt(x^2+7))