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Popular >

simplify ln((3x)/(2y))

Solution

simplify

ln (\frac{3 x}{2 y})

Solution

ln (3) + ln (x) - ln (2) - ln (y)

Solution steps

ln (\frac{3 x}{2 y})

Apply log rule:

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

ln (\frac{3 x}{2 y}) = ln (3 x) - ln (2 y)

= ln (3 x) - ln (2 y)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x), ln (2 y) = ln (2) + ln (y)

= ln (3) + ln (x) - (ln (y) + ln (2))

- (ln (2) + ln (y)) : - ln (2) - ln (y)

= ln (3) + ln (x) - ln (2) - ln (y)

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Frequently Asked Questions (FAQ)

What is ln((3x)/(2y)) ?
The solution to ln((3x)/(2y)) is ln(3)+ln(x)-ln(2)-ln(y)