Question

Use the equation below to complete the following problems.a.) Rewrite the equation using the same base.b.) Solve for x. Write your answer as a fraction in simplest form.

Answer 1

Given:

The equation is

`((1)/(27))^x=3^(-4x+6)`

Required:

b.) Solve for x. Write your answer as a fraction in simplest form.

Step-by-step explanation:

We will proceed as

`\begin{gathered} ((1)/(27))^x=3^(-4x+6) \\ (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=(6)/(1) \end{gathered}`

Answer:

Hence, answered the question.