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Popular >

expand ln(x/(3y))

Solution

expand

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

Solution

ln (x) - ln (3) - ln (y)

Solution steps

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

Apply log rule:

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

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

= ln (x) - ln (3 y)

Apply log rule:

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

ln (3 y) = ln (3) + ln (y)

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

- (ln (3) + ln (y)) : - ln (3) - ln (y)

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

Popular Examples

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lo g_{3} (\frac{x}{5})

Frequently Asked Questions (FAQ)

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