What is simplify-(ln(1-x)-ln(2))/(ln(2)) ?

The solution to simplify-(ln(1-x)-ln(2))/(ln(2)) is -(ln((1-x)/2))/(ln(2))

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simplify-(ln(1-x)-ln(2))/(ln(2))

simplify

- \frac{ln ( 1 - x ) - ln ( 2 )}{ln ( 2 )}

- \frac{ln ( \frac{1 - x}{2} )}{ln ( 2 )}

Solution steps

- \frac{ln ( 1 - x ) - ln ( 2 )}{ln ( 2 )}

Apply log rule:

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

ln (1 - x) - ln (2) = ln (\frac{- x + 1}{2})

= - \frac{ln ( \frac{1 - x}{2} )}{ln ( 2 )}

(\frac{1}{2}) lo g_{b} (a) - 5 lo g_{b} (c)

ln (\frac{100 + 0.11}{0.11})

ln (\frac{0.5}{1.6})

\frac{1}{3} ln (\frac{49}{76})

- lo g_{10} (2.65 \cdot 1 0^{- 8})

What is simplify-(ln(1-x)-ln(2))/(ln(2)) ?
The solution to simplify-(ln(1-x)-ln(2))/(ln(2)) is -(ln((1-x)/2))/(ln(2))