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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

ln (2) + ln (x) = ln (2 x)

= ln (2 x) - ln (y)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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