What is ln((-0.375)/((-0.375)^3-8))+3 ?

The solution to ln((-0.375)/((-0.375)^3-8))+3 is ln(-0.375)-ln(-8.05273…)+3

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simplify ln((-0.375)/((-0.375)^3-8))+3

simplify

ln (\frac{- 0.375}{( - 0.375 ) ^{3} - 8}) + 3

ln (- 0.375) - ln (- 8.05273 \dots) + 3

Solution steps

ln (\frac{- 0.375}{( - 0.375 ) ^{3} - 8}) + 3

Apply log rule:

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

ln (\frac{- 0.375}{( - 0.375 ) ^{3} - 8}) = ln (- 0.375) - ln ((- 0.375)^{3} - 8)

= ln (- 0.375) - ln ((- 0.375)^{3} - 8) + 3

ln ((- 0.375)^{3} - 8) = ln (- 8.05273 \dots)

= ln (- 0.375) - ln (- 8.05273 \dots) + 3

\frac{1}{3} \cdot ln (1 + 2 \cdot 100) + \frac{2}{3} \cdot ln (1 + 2 \cdot 400)

- ln (\frac{131}{441.00049})

[ln (- 1) - ln (- 2)]

ln (\frac{x}{n})

231.473 - 233.13 - 8.314 ln (\frac{1}{0.7})

What is ln((-0.375)/((-0.375)^3-8))+3 ?
The solution to ln((-0.375)/((-0.375)^3-8))+3 is ln(-0.375)-ln(-8.05273…)+3