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Popular >

simplify ln((4x)/(1-y))

Solution

simplify

ln (\frac{4 x}{1 - y})

Solution

2 ln (2) + ln (x) - ln (1 - y)

Solution steps

ln (\frac{4 x}{1 - y})

Apply log rule:

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

ln (\frac{4 x}{1 - y}) = ln (4 x) - ln (1 - y)

= ln (4 x) - ln (- y + 1)

Apply log rule:

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

ln (4 x) = ln (4) + ln (x)

= ln (4) + ln (x) - ln (- y + 1)

ln (4) = 2 ln (2)

= 2 ln (2) + ln (x) - ln (- y + 1)

Popular Examples

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ln (2 x) + ln (4 y)

Frequently Asked Questions (FAQ)

What is ln((4x)/(1-y)) ?
The solution to ln((4x)/(1-y)) is 2ln(2)+ln(x)-ln(1-y)