What is ln((t)(t+4)(t+6)) ?

The solution to ln((t)(t+4)(t+6)) is ln(t)+ln(t+4)+ln(t+6)

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simplify ln((t)(t+4)(t+6))

simplify

ln ((t) (t + 4) (t + 6))

ln (t) + ln (t + 4) + ln (t + 6)

Solution steps

ln ((t) (t + 4) (t + 6))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln ((t) (t + 4) (t + 6)) = ln (t) + ln (t + 4) + ln (t + 6)

= ln (t) + ln (t + 4) + ln (t + 6)

ln (\frac{40}{450})

\frac{1}{2} ln (2 (9.5) + 1) + 2 ln (9.5 - 1)

ln (\frac{7 x y ^{3}}{z})

4 lo g_{8} (a) + 16 lo g_{8} (b)

3 ln ∣ x + 3 ∣ - ln ∣ x - 3 ∣ + C

What is ln((t)(t+4)(t+6)) ?
The solution to ln((t)(t+4)(t+6)) is ln(t)+ln(t+4)+ln(t+6)