What is simplify-ln(0.01sqrt(1-0.46^2)) ?

The solution to simplify-ln(0.01sqrt(1-0.46^2)) is -ln(0.01)-(ln(0.7884))/2

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simplify-ln(0.01sqrt(1-0.46^2))

simplify

- ln (0.01 1 - 0.4 6^{2})

- ln (0.01) - \frac{ln ( 0.7884 )}{2}

Decimal Notation

4.72404 \dots

Solution steps

- ln (0.01 1 - 0.4 6^{2})

Apply log rule:

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

ln (0.01 1 - 0.4 6^{2}) = ln (0.01) + ln (1 - 0.4 6^{2})

= - (ln (0.01) + ln (1 - 0.4 6^{2}))

ln (1 - 0.4 6^{2}) = \frac{ln ( 0.7884 )}{2}

= - (\frac{ln ( 0.7884 )}{2} + ln (0.01))

Distribute parentheses

= - (ln (0.01)) - (\frac{ln ( 0.7884 )}{2})

Apply minus-plus rules

+ (- a) = - a

= - ln (0.01) - \frac{ln ( 0.7884 )}{2}

\frac{1}{2} ln 1^{2} + 1 - \frac{1}{2} ln - 2^{2} + 1

ln (e^{x} + 1 - 1) - ln (1 + e^{x} + 1)

ln (\frac{1}{x 2 π})

ln (41 x^{- 4} y)

\frac{ln ( 3939.6896 ) - ln ( 1992.1294 )}{3416.708}

What is simplify-ln(0.01sqrt(1-0.46^2)) ?
The solution to simplify-ln(0.01sqrt(1-0.46^2)) is -ln(0.01)-(ln(0.7884))/2