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Popular >

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

Solution

simplify

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

Solution

ln (\frac{x ^{2}}{yz})

Solution steps

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

Apply log rule:

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

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

= ln (\frac{x}{y} \cdot \frac{x}{z})

Simplify

\frac{x}{y} \cdot \frac{x}{z} : \frac{x ^{2}}{yz}

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

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Frequently Asked Questions (FAQ)

What is ln(x/y)+ln(x/z) ?
The solution to ln(x/y)+ln(x/z) is ln((x^2)/(yz))