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Popular >

simplify ln(x/y-1)+ln(y)

Solution

simplify

ln (\frac{x}{y} - 1) + ln (y)

Solution

ln (x - y)

Solution steps

ln (\frac{x}{y} - 1) + ln (y)

Apply log rule:

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

ln (\frac{x}{y} - 1) + ln (y) = ln (y (\frac{x}{y} - 1))

= ln (y (\frac{x}{y} - 1))

Simplify

(\frac{x}{y} - 1) y : x - y

= ln (x - y)

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Frequently Asked Questions (FAQ)

What is ln(x/y-1)+ln(y) ?
The solution to ln(x/y-1)+ln(y) is ln(x-y)