What is ln(8x^2-2)-ln(x^2) ?

The solution to ln(8x^2-2)-ln(x^2) is ln((8x^2-2)/(x^2))

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simplify ln(8x^2-2)-ln(x^2)

simplify

ln (8 x^{2} - 2) - ln (x^{2})

ln (\frac{8 x ^{2} - 2}{x ^{2}})

Solution steps

ln (8 x^{2} - 2) - ln (x^{2})

Apply log rule:

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

ln (8 x^{2} - 2) - ln (x^{2}) = ln (\frac{8 x ^{2} - 2}{x ^{2}})

= ln (\frac{8 x ^{2} - 2}{x ^{2}})

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} \cdot ln (\frac{1}{2})

3 ln x^{2} - 16 - \frac{1}{4} (ln \frac{x}{4} + 1 - ln \frac{x}{4} - 1)

ln (- 3 e^{- x})

- lo g_{10} (4.5 \cdot 1 0^{- 10})

lo g_{5} (\frac{1}{500})

What is ln(8x^2-2)-ln(x^2) ?
The solution to ln(8x^2-2)-ln(x^2) is ln((8x^2-2)/(x^2))