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Popular >

simplify ln(y-3)+ln((x+2)/(y-3))

Solution

simplify

ln (y - 3) + ln (\frac{x + 2}{y - 3})

Solution

ln (x + 2)

Solution steps

ln (y - 3) + ln (\frac{x + 2}{y - 3})

Apply log rule:

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

ln (y - 3) + ln (\frac{x + 2}{y - 3}) = ln (\frac{x + 2}{y - 3} (y - 3))

= ln (\frac{x + 2}{y - 3} (y - 3))

Simplify

(y - 3) \frac{x + 2}{y - 3} : x + 2

= ln (x + 2)

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Frequently Asked Questions (FAQ)

What is ln(y-3)+ln((x+2)/(y-3)) ?
The solution to ln(y-3)+ln((x+2)/(y-3)) is ln(x+2)