What is ln(5x^2-6)-ln(x^2) ?

The solution to ln(5x^2-6)-ln(x^2) is ln((5x^2-6)/(x^2))

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simplify ln(5x^2-6)-ln(x^2)

simplify

ln (5 x^{2} - 6) - ln (x^{2})

ln (\frac{5 x ^{2} - 6}{x ^{2}})

Solution steps

ln (5 x^{2} - 6) - ln (x^{2})

Apply log rule:

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

ln (5 x^{2} - 6) - ln (x^{2}) = ln (\frac{5 x ^{2} - 6}{x ^{2}})

= ln (\frac{5 x ^{2} - 6}{x ^{2}})

ln (3 x) - 3 x

ln (\frac{2950000}{750000})

ln (1 \cdot 2)

ln (\frac{1.4}{1}) + 3 ln (\frac{1.8}{1.4})

ln (\frac{0.015}{1.5})

What is ln(5x^2-6)-ln(x^2) ?
The solution to ln(5x^2-6)-ln(x^2) is ln((5x^2-6)/(x^2))