What is ln((-0.34)^{23.2505}(-0.86)^{7.84805}) ?

The solution to ln((-0.34)^{23.2505}(-0.86)^{7.84805}) is 23.2505ln(-0.34)+7.84805ln(-0.86)

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simplify ln((-0.34)^{23.2505}(-0.86)^{7.84805})

simplify

ln ((- 0.34)^{23.2505} (- 0.86)^{7.84805})

23.2505 ln (- 0.34) + 7.84805 ln (- 0.86)

Solution steps

ln ((- 0.34)^{23.2505} (- 0.86)^{7.84805})

Apply log rule:

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

ln ((- 0.34)^{23.2505} (- 0.86)^{7.84805}) = ln ((- 0.34)^{23.2505}) + ln ((- 0.86)^{7.84805})

= ln ((- 0.34)^{23.2505}) + ln ((- 0.86)^{7.84805})

Apply log rule:

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

ln ((- 0.34)^{23.2505}) = 23.2505 ln (- 0.34)

= 23.2505 ln (- 0.34) + ln ((- 0.86)^{7.84805})

Apply log rule:

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

ln ((- 0.86)^{7.84805}) = 7.84805 ln (- 0.86)

= 23.2505 ln (- 0.34) + 7.84805 ln (- 0.86)

- lo g_{10} (1.48 \cdot 1 0^{- 3})

3 ln ∣ x - 1 ∣ - \frac{1}{3} ln ∣ 3 x - 6 ∣ + c

ln (3) (- 1 - \frac{1}{2} - \frac{1}{8} + \frac{3}{4}) + ln (2) (- 1 - \frac{1}{4} - \frac{3}{4})

ln (x) - ln (3 x)

ln (\frac{1}{1 - 0.97})

What is ln((-0.34)^{23.2505}(-0.86)^{7.84805}) ?
The solution to ln((-0.34)^{23.2505}(-0.86)^{7.84805}) is 23.2505ln(-0.34)+7.84805ln(-0.86)