What is ln(4x^2-3)-ln(x^2) ?

The solution to ln(4x^2-3)-ln(x^2) is ln((4x^2-3)/(x^2))

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simplify ln(4x^2-3)-ln(x^2)

simplify

ln (4 x^{2} - 3) - ln (x^{2})

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

Solution steps

ln (4 x^{2} - 3) - ln (x^{2})

Apply log rule:

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

ln (4 x^{2} - 3) - ln (x^{2}) = ln (\frac{4 x ^{2} - 3}{x ^{2}})

= ln (\frac{4 x ^{2} - 3}{x ^{2}})

12 + 4 ln (\frac{9}{5})

lo g_{b} (x^{3}) y^{5}

ln (5) + ln (5^{2}) + ln (5^{3})

ln (x^{2} y^{\frac{1}{3}})

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

What is ln(4x^2-3)-ln(x^2) ?
The solution to ln(4x^2-3)-ln(x^2) is ln((4x^2-3)/(x^2))