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Popular >

simplify ln((x^7)/(x^2-25))

Solution

simplify

ln (\frac{x ^{7}}{x ^{2} - 25})

Solution

7 ln (x) - ln (x^{2} - 25)

Solution steps

ln (\frac{x ^{7}}{x ^{2} - 25})

Apply log rule:

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

ln (\frac{x ^{7}}{x ^{2} - 25}) = ln (x^{7}) - ln (x^{2} - 25)

= ln (x^{7}) - ln (x^{2} - 25)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{7}) = 7 ln (x)

= 7 ln (x) - ln (x^{2} - 25)

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln((x^7)/(x^2-25)) ?
The solution to ln((x^7)/(x^2-25)) is 7ln(x)-ln(x^2-25)