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Popular >

simplify-ln(y/x)

Solution

simplify

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

Solution

- ln (y) + ln (x)

Solution steps

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

Apply log rule:

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

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

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

Distribute parentheses

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

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (y) + ln (x)

Popular Examples

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ln (\frac{1}{125}) + 4 ln (5) - 2 ln (\frac{1}{5})

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

Frequently Asked Questions (FAQ)

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