What is ln(3x^2-3)-ln(x^2) ?

The solution to ln(3x^2-3)-ln(x^2) is ln((3x^2-3)/(x^2))

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simplify ln(3x^2-3)-ln(x^2)

simplify

ln (3 x^{2} - 3) - ln (x^{2})

ln (\frac{3 x ^{2} - 3}{x ^{2}})

Solution steps

ln (3 x^{2} - 3) - ln (x^{2})

Apply log rule:

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

ln (3 x^{2} - 3) - ln (x^{2}) = ln (\frac{3 x ^{2} - 3}{x ^{2}})

= ln (\frac{3 x ^{2} - 3}{x ^{2}})

lo g_{z} (\frac{x}{9})

ln (x) - ln (sin (x))

ln (8 x^{3}) - ln (4 x)

\frac{( ln ( \frac{1}{x + h} + 1 ) - ln ( \frac{1}{x} + 1 ) )}{h}

ln (\frac{413.15}{293.15})

What is ln(3x^2-3)-ln(x^2) ?
The solution to ln(3x^2-3)-ln(x^2) is ln((3x^2-3)/(x^2))