Given:
The equation is
[tex](\frac{1}{27})^x=3^{-4x+6}[/tex]
Required:
b.) Solve for x. Write your answer as a fraction in simplest form.
Explanation:
We will proceed as
[tex]\begin{gathered} (\frac{1}{27})^x=3^{-4x+6} \\ \frac{1}{(3^3)^x}=3^{-4x+6} \\ 1=3^{3x}(3^{-4x+6}) \\ 1=3^{3x-4x+6} \\ 1=3^{-x+6} \\ x=6 \\ x=\frac{6}{1} \end{gathered}[/tex]
Answer:
Hence, answered the question.
