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Popular >

simplify ln((7x)/(x^2+7))

Solution

simplify

ln (\frac{7 x}{x ^{2} + 7})

Solution

ln (7) + ln (x) - ln (x^{2} + 7)

Solution steps

ln (\frac{7 x}{x ^{2} + 7})

Apply log rule:

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

ln (\frac{7 x}{x ^{2} + 7}) = ln (7 x) - ln (x^{2} + 7)

= ln (7 x) - ln (x^{2} + 7)

Apply log rule:

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

ln (7 x) = ln (7) + ln (x)

= ln (7) + ln (x) - ln (x^{2} + 7)

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Frequently Asked Questions (FAQ)

What is ln((7x)/(x^2+7)) ?
The solution to ln((7x)/(x^2+7)) is ln(7)+ln(x)-ln(x^2+7)