結合する 3^{(ln(4/(ln(3))))/(ln(3))}ln(3)

解

結合する

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3)

ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}

十進法表記

4

解答ステップ

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3)

対数の規則を適用する:

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

3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}} ln (3) = ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}

= ln 3^{3^{\frac{l n ( \frac{4}{l n ( 3 )} )}{l n ( 3 )}}}