What is ln(4x^2-5)-ln(x^2) ?

The solution to ln(4x^2-5)-ln(x^2) is ln((4x^2-5)/(x^2))

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simplify ln(4x^2-5)-ln(x^2)

simplify

ln (4 x^{2} - 5) - ln (x^{2})

ln (\frac{4 x ^{2} - 5}{x ^{2}})

Solution steps

ln (4 x^{2} - 5) - ln (x^{2})

Apply log rule:

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

ln (4 x^{2} - 5) - ln (x^{2}) = ln (\frac{4 x ^{2} - 5}{x ^{2}})

= ln (\frac{4 x ^{2} - 5}{x ^{2}})

ln (\frac{45}{75})

\frac{1}{i} (ln (2.414 - 0.011 i) - ln (2.054 - 0.0423 i))

lo g_{10} (x) - \frac{1}{2} lo g_{10} (x^{2} + 8)

ln (\frac{5}{15})

ln (\frac{0.0141300000000 \dots}{v ^{1.8}})

What is ln(4x^2-5)-ln(x^2) ?
The solution to ln(4x^2-5)-ln(x^2) is ln((4x^2-5)/(x^2))