What is ln((5x)/(sqrt(x^2-9))) ?

The solution to ln((5x)/(sqrt(x^2-9))) is ln(5)+ln(x)-ln(sqrt(x^2-9))

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simplify ln((5x)/(sqrt(x^2-9)))

simplify

ln (\frac{5 x}{x ^{2} - 9})

ln (5) + ln (x) - ln (x^{2} - 9)

Solution steps

ln (\frac{5 x}{x ^{2} - 9})

Apply log rule:

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

ln (\frac{5 x}{x ^{2} - 9}) = ln (5 x) - ln (x^{2} - 9)

= ln (5 x) - ln (x^{2} - 9)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (5 x) = ln (5) + ln (x)

= ln (5) + ln (x) - ln (x^{2} - 9)

4 - 3.8 + lo g_{10} (\frac{x}{0.1})

ln (e n θ) - θ

lo g_{10} (\frac{e ^{2}}{4})

ln (\frac{102}{760})

ln (1 + 0.999) - ln (0.999)

What is ln((5x)/(sqrt(x^2-9))) ?
The solution to ln((5x)/(sqrt(x^2-9))) is ln(5)+ln(x)-ln(sqrt(x^2-9))