3^{log_{9}(5x-5)}=5

解

3^{l o g_{9} (5 x - 5)} = 5

x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}

十進法表記

x = 6

解答ステップ

3^{l o g_{9} (5 x - 5)} = 5

指数の規則を適用する

lo g_{9} (5 x - 5) ln (3) = ln (5)

解く

lo g_{9} (5 x - 5) ln (3) = ln (5) : x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}

x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}