What is ln((sqrt(2x+4))/9) ?

The solution to ln((sqrt(2x+4))/9) is ln(sqrt(2x+4))-2ln(3)

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simplify ln((sqrt(2x+4))/9)

simplify

ln (\frac{2 x + 4}{9})

ln (2 x + 4) - 2 ln (3)

Solution steps

ln (\frac{2 x + 4}{9})

Apply log rule:

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

ln (\frac{2 x + 4}{9}) = ln (2 x + 4) - ln (9)

= ln (2 x + 4) - ln (9)

ln (9) = 2 ln (3)

= ln (2 x + 4) - 2 ln (3)

ln (\frac{5 x}{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})

What is ln((sqrt(2x+4))/9) ?
The solution to ln((sqrt(2x+4))/9) is ln(sqrt(2x+4))-2ln(3)