What is 2400*ln((750)/(750-14(t)))-(9.81*t) ?

The solution to 2400*ln((750)/(750-14(t)))-(9.81*t) is 2400(ln(750)-ln(750-14t))-9.81t

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simplify 2400ln((750)/(750-14(t)))-(9.81t)

simplify

2400 \cdot ln (\frac{750}{750 - 14 ( t )}) - (9.81 \cdot t)

2400 (ln (750) - ln (750 - 14 t)) - 9.81 t

Solution steps

2400 ln (\frac{750}{750 - 14 ( t )}) - (9.81 t)

Apply log rule:

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

ln (\frac{750}{750 - 14 ( t )}) = ln (750) - ln (750 - 14 (t))

= 2400 (- ln (- 14 t + 750) + ln (750)) - 9.81 t

5 lo g_{6} (u) + 2 lo g_{6} (v)

3 lo g_{4} (u) - 18 lo g_{4} (v)

\frac{lo g _{10} ( 2 )}{lo g _{10} ( 5 ) - lo g _{10} ( 2 )}

ln (\frac{8}{10})

2 (ln (u^{3}) + ln (w^{\frac{1}{3}}) - ln (v))

What is 2400*ln((750)/(750-14(t)))-(9.81*t) ?
The solution to 2400*ln((750)/(750-14(t)))-(9.81*t) is 2400(ln(750)-ln(750-14t))-9.81t