What is ln(0.02sqrt(1-0.9^2)) ?

The solution to ln(0.02sqrt(1-0.9^2)) is ln(0.02)+(ln(0.19))/2

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simplify ln(0.02sqrt(1-0.9^2))

simplify

ln (0.02 1 - 0. 9^{2})

ln (0.02) + \frac{ln ( 0.19 )}{2}

Decimal Notation

- 4.74238 \dots

Solution steps

ln (0.02 1 - 0. 9^{2})

Apply log rule:

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

ln (0.02 1 - 0. 9^{2}) = ln (0.02) + ln (1 - 0. 9^{2})

= ln (0.02) + ln (1 - 0. 9^{2})

ln (1 - 0. 9^{2}) = \frac{ln ( 0.19 )}{2}

= ln (0.02) + \frac{ln ( 0.19 )}{2}

\frac{ln ( 20 ) - ln ( 40 )}{- 0.3}

ln (2 m)

ln (7) - ln (3.5)

ln (\frac{1}{a} (x - 3)^{- 3})

ln (y) + ln (2 x)

What is ln(0.02sqrt(1-0.9^2)) ?
The solution to ln(0.02sqrt(1-0.9^2)) is ln(0.02)+(ln(0.19))/2