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Popular >

simplify-ln(x/y)

Solution

simplify

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

Solution

- ln (x) + ln (y)

Solution steps

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

Apply log rule:

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

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

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

Distribute parentheses

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

Apply minus-plus rules

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

= - ln (x) + ln (y)

Popular Examples

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lo g_{b} (\frac{x ^{3} y}{z ^{9}})

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\frac{2}{5} ln (\frac{15}{4})

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lo g_{10} (6 x)

simplify 2ln(x)+ln(y)+ln(z)simplify

2 ln (x) + ln (y) + ln (z)

Frequently Asked Questions (FAQ)

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