解決{l}{text{If}frac{9^{n}*3^{2}*3^{n}-(27)^{n}}{3^{3m}*2^3}=1/27,text{provethat}m=1+}{text{If}3^4x=(81)^-1text{and}(10)^1/y=0.0001,text{find}} |Microsoft數學求解器

$$\left. \begin{array} { l } { \text { If } \frac { 9 ^ { n } \cdot 3 ^ { 2 } \cdot 3 ^ { n } - ( 27 ) ^ { n } } { 3 ^ { 3 m } \cdot 2 ^ { 3 } } = \frac { 1 } { 27 } , \text { prove that } m = 1 + } \\ { \text { If } 3 ^ { 4 x } = ( 81 ) ^ { - 1 } \text { and } ( 10 ) ^ { 1 / y } = 0.0001 , \text { find } } \end{array} \right.$$

解 x

$$x=-1$$

$$n=m-1$$