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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

1 + ln (2 x) - ln (3 y) - 2 ln (z)

4 lo g_{10} (x) - 2 lo g_{10} (x - 3)

lo g_{2} (r^{\frac{1}{3}}) t

- lo g_{10} (1.9 \cdot 1 0^{- 3})

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

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