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

解

簡約

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}

解答ステップ

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

規則を適用する:

(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}})

簡素化

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))

簡素化

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}