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Popular >

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

Solution

simplify

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

Solution

ln (x + y)

Solution steps

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

Apply log rule:

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

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

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

Simplify

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

= ln (x + y)

Popular Examples

simplify ln|x|+ln|x-1|+ln|x+1|simplify

ln ∣ x ∣ + ln ∣ x - 1 ∣ + ln ∣ x + 1 ∣

simplify ln|b|ln(b/a)+(-ln(|b|^2)+ln(|a|^2))/2 simplify

ln ∣ b ∣ ln (\frac{b}{a}) + \frac{- ln ( ∣ b ∣ ^{2} ) + ln ( ∣ a ∣ ^{2} )}{2}

simplify 0*log_{10}(0.69)+(1-0)*log_{10}(1-0.69)simplify

0 \cdot lo g_{10} (0.69) + (1 - 0) \cdot lo g_{10} (1 - 0.69)

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lo g_{5} (\frac{1}{20})

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- lo g_{10} (3.2 \cdot 1 0^{- 6})

Frequently Asked Questions (FAQ)

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