What is ln(sqrt(3))-ln(1/(sqrt(3))) ?

The solution to ln(sqrt(3))-ln(1/(sqrt(3))) is ln(3)

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simplify ln(sqrt(3))-ln(1/(sqrt(3)))

simplify

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

ln (3)

Decimal Notation

1.09861 \dots

Solution steps

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

Apply log rule:

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

ln (3) - ln (\frac{1}{3}) = ln (\frac{3}{\frac{1}{3}})

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

\frac{3}{\frac{1}{3}} = 3

= ln (3)

- lo g_{10} (2.75 \cdot 1 0^{- 4})

- lo g_{10} (1.5 e^{- 54})

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

ln (12 e^{2 x})

(ln (95) - ln (100)) \cdot 100

What is ln(sqrt(3))-ln(1/(sqrt(3))) ?
The solution to ln(sqrt(3))-ln(1/(sqrt(3))) is ln(3)