4 x + 2 − 24 ∗ 4 x − 1 = 7 ∗ 12 x + 1 + 6 ∗ 12 x {\displaystyle 4^{x+2}-24*4^{x-1}=7*12^{x+1}+6*12^{x}}
4 x + 2 − 24 ∗ 4 x − 1 = 7 ∗ 12 x + 1 + 6 ∗ 12 x 4 x ∗ ( 4 2 − 24 ∗ 4 − 1 ) = 12 x ( 7 ∗ 12 + 6 ) 4 x ∗ ( 16 − 6 ) = 12 x ∗ 90 4 x ∗ 10 = 12 x ∗ 90 4 x = 12 x ∗ 9 4 x − 12 x ∗ 9 = 0 4 x ( 1 − 9 ∗ 3 x ) = 0 4 x = 0 1 − 9 x = 0 x = w r o n g v a l u e 3 − 2 = 3 x x = − 2 {\displaystyle {\begin{aligned}4^{x+2}-24*4^{x-1}=7*12^{x+1}+6*12^{x}\\4^{x}*(4^{2}-24*4^{-1})=12^{x}(7*12+6)\\4^{x}*(16-6)=12^{x}*90\\4^{x}*10=12^{x}*90\\4^{x}=12^{x}*9\\4^{x}-12^{x}*9=0\\4^{x}(1-9*3^{x})=0\\4^{x}=0\ \ \ \ \ \ 1-9^{x}=0\\x=wrongvalue\ \ \ \ \ 3^{-2}=3^{x}\\x=-2\end{aligned}}}
