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Popular >

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

Solution

simplify

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

Solution

- ln (y)

Solution steps

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

Rewrite

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

as

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

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

Apply log rule:

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

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

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

Simplify

\frac{y}{x} x : y

= - ln (y)

Popular Examples

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Frequently Asked Questions (FAQ)

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