What is ln(8x^2-4)-ln(x^2) ?

The solution to ln(8x^2-4)-ln(x^2) is ln((8x^2-4)/(x^2))

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simplify ln(8x^2-4)-ln(x^2)

simplify

ln (8 x^{2} - 4) - ln (x^{2})

ln (\frac{8 x ^{2} - 4}{x ^{2}})

Solution steps

ln (8 x^{2} - 4) - ln (x^{2})

Apply log rule:

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

ln (8 x^{2} - 4) - ln (x^{2}) = ln (\frac{8 x ^{2} - 4}{x ^{2}})

= ln (\frac{8 x ^{2} - 4}{x ^{2}})

\frac{8 ln ( 3 )}{2 ln ( 3 ) - ln ( 2 )}

lo g_{10} (4 x^{5})

ln (x) - ln (p)

ln (0.019 \cdot 1.78108)

ln (4 e^{1})

What is ln(8x^2-4)-ln(x^2) ?
The solution to ln(8x^2-4)-ln(x^2) is ln((8x^2-4)/(x^2))