What is ln(9/(sqrt(10)+1)) ?

The solution to ln(9/(sqrt(10)+1)) is 2ln(3)-ln(sqrt(10)+1)

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simplify ln(9/(sqrt(10)+1))

simplify

ln (\frac{9}{10 + 1})

2 ln (3) - ln (10 + 1)

Solution steps

ln (\frac{9}{10 + 1})

Apply log rule:

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

ln (\frac{9}{10 + 1}) = ln (9) - ln (10 + 1)

= ln (9) - ln (1 + 10)

ln (9) = 2 ln (3)

= 2 ln (3) - ln (1 + 10)

ln (2 e^{4 x})

ln ((x - 1) (x - 2))

8 ln (x^{2} e^{x})

\frac{2 ln ( 4 )}{ln ( 12 ) - ln ( 4 )}

- ln (c) + ln (c + x)

What is ln(9/(sqrt(10)+1)) ?
The solution to ln(9/(sqrt(10)+1)) is 2ln(3)-ln(sqrt(10)+1)