What is 3ln(\sqrt[3]{t^2-1})-ln(t+1) ?

The solution to 3ln(\sqrt[3]{t^2-1})-ln(t+1) is ln(t-1)

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simplify 3ln(\sqrt[3]{t^2-1})-ln(t+1)

simplify

ln (t - 1)

Solution steps

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

Apply log rule:

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

Simplify

= ln (t - 1)

lo g_{5} (x) - lo g_{5} (x^{2})

ln (22)

ln (x^{2} - 81) - ln (x + 9)

lo g_{10} (\frac{y ^{5} x}{z})

What is 3ln(\sqrt[3]{t^2-1})-ln(t+1) ?
The solution to 3ln(\sqrt[3]{t^2-1})-ln(t+1) is ln(t-1)