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Popular >

simplify ln((3x)/(x^2+4))

Solution

simplify

ln (\frac{3 x}{x ^{2} + 4})

Solution

ln (3) + ln (x) - ln (x^{2} + 4)

Solution steps

ln (\frac{3 x}{x ^{2} + 4})

Apply log rule:

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

ln (\frac{3 x}{x ^{2} + 4}) = ln (3 x) - ln (x^{2} + 4)

= ln (3 x) - ln (x^{2} + 4)

Apply log rule:

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

ln (3 x) = ln (3) + ln (x)

= ln (3) + ln (x) - ln (x^{2} + 4)

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Frequently Asked Questions (FAQ)

What is ln((3x)/(x^2+4)) ?
The solution to ln((3x)/(x^2+4)) is ln(3)+ln(x)-ln(x^2+4)