What is ln((x^5)/(sqrt(x^2-36))) ?

The solution to ln((x^5)/(sqrt(x^2-36))) is 5ln(x)-ln(sqrt(x^2-36))

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simplify ln((x^5)/(sqrt(x^2-36)))

simplify

ln (\frac{x ^{5}}{x ^{2} - 36})

5 ln (x) - ln (x^{2} - 36)

Solution steps

ln (\frac{x ^{5}}{x ^{2} - 36})

Apply log rule:

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

ln (\frac{x ^{5}}{x ^{2} - 36}) = ln (x^{5}) - ln (x^{2} - 36)

= ln (x^{5}) - ln (x^{2} - 36)

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

= 5 ln (x) - ln (x^{2} - 36)

ln (\frac{1}{β} e^{- \frac{x}{β}})

- 0.093 \cdot lo g_{2} (0.093) - 0.07 \cdot lo g_{2} (0.07)

ln (\frac{x + \frac{1}{2}}{x + 1})

ln (B e^{- a t})

e ln (ey) - e

What is ln((x^5)/(sqrt(x^2-36))) ?
The solution to ln((x^5)/(sqrt(x^2-36))) is 5ln(x)-ln(sqrt(x^2-36))