What is ln((9+sqrt(61))/(10)) ?

The solution to ln((9+sqrt(61))/(10)) is ln(9+sqrt(61))-ln(10)

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simplify ln((9+sqrt(61))/(10))

simplify

ln (\frac{9 + 61}{10})

ln (9 + 61) - ln (10)

Decimal Notation

0.51940 \dots

Solution steps

ln (\frac{9 + 61}{10})

Apply log rule:

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

ln (\frac{9 + 61}{10}) = ln (9 + 61) - ln (10)

= ln (9 + 61) - ln (10)

lo g_{10} (100 a)

ln (3) \frac{1}{7}

\frac{2}{3} lo g_{10} (27) + lo g_{10} (x) + lo g_{10} (x)

- (3 ln (2) + ln (3))

lo g_{10} (\frac{x ^{3}}{( x + 6 ) ^{5}})

What is ln((9+sqrt(61))/(10)) ?
The solution to ln((9+sqrt(61))/(10)) is ln(9+sqrt(61))-ln(10)