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Popular >

simplify-ln(x/y)+2ln(x)

Solution

simplify

- ln (\frac{x}{y}) + 2 ln (x)

Solution

ln (x y)

Solution steps

- ln (\frac{x}{y}) + 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

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

Apply log rule:

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

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

= ln (\frac{x ^{2}}{\frac{x}{y}})

Simplify

\frac{x ^{2}}{\frac{x}{y}} : x y

= ln (x y)

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Frequently Asked Questions (FAQ)

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