vereinfachen l^{-1}*{log_{10}(((s^2-a^2))/((s^2)))}

Lösung

vereinfachen

l^{- 1} \cdot {lo g_{10} (\frac{( s ^{2} - a ^{2} )}{( s ^{2} )})}

\frac{lo g _{10} ( s ^{2} - a ^{2} ) - 2 lo g _{10} ( s )}{l}

Schritte zur Lösung

l^{- 1} (lo g_{10} (\frac{s ^{2} - a ^{2}}{s ^{2}}))

Apply rule:

(a) = a

(lo g_{10} (\frac{s ^{2} - a ^{2}}{s ^{2}})) = lo g_{10} (\frac{s ^{2} - a ^{2}}{s ^{2}})

= l^{- 1} lo g_{10} (\frac{s ^{2} - a ^{2}}{s ^{2}})

Vereinfache

lo g_{10} (\frac{s ^{2} - a ^{2}}{s ^{2}}) : lo g_{10} (s^{2} - a^{2}) - 2 lo g_{10} (s)

= l^{- 1} (lo g_{10} (s^{2} - a^{2}) - 2 lo g_{10} (s))

Vereinfache

l^{- 1} (lo g_{10} (s^{2} - a^{2}) - 2 lo g_{10} (s)) : \frac{lo g _{10} ( s ^{2} - a ^{2} ) - 2 lo g _{10} ( s )}{l}

= \frac{lo g _{10} ( s ^{2} - a ^{2} ) - 2 lo g _{10} ( s )}{l}

s im pl i f y 2 lo g_{10} (n^{n})

e x p an d (3 p - 4 q)^{3}

s im pl i f y \frac{101}{2} \times \frac{13}{7} \times \frac{42}{5}

s im pl i f y (a + b)^{3} - 8 \cdot (a - b)^{3}

s im pl i f y 3 x + 6 x - 2 x - 4 x