What is simplify-ln(t)+2ln(t+1) ?

The solution to simplify-ln(t)+2ln(t+1) is ln(((t+1)^2)/t)

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simplify-ln(t)+2ln(t+1)

simplify

- ln (t) + 2 ln (t + 1)

ln (\frac{( t + 1 ) ^{2}}{t})

Solution steps

- ln (t) + 2 ln (t + 1)

Apply log rule:

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

2 ln (t + 1) = ln ((t + 1)^{2})

= - ln (t) + ln ((t + 1)^{2})

Apply log rule:

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

ln ((t + 1)^{2}) - ln (t) = ln (\frac{( t + 1 ) ^{2}}{t})

= ln (\frac{( t + 1 ) ^{2}}{t})

ln \frac{1}{( 2 π ^{7} )}

ln (\frac{20}{9})

3 lo g_{4} (x) + 5 lo g_{4} (y)

- \frac{4}{ln ( 6 ) 5}

\frac{3}{4} \cdot ln (2)

What is simplify-ln(t)+2ln(t+1) ?
The solution to simplify-ln(t)+2ln(t+1) is ln(((t+1)^2)/t)