Algebra. Cpm. Help. My teacher can't teach!

Question

9^x= (1/3)^x+3

 

Answer 1

Rewrite the equation to have a common base.

 

(3²)^x = (3^-1)^{x + 3}

 

 

Then using the power raised to a power rule to multiply exponents,

 

3^2x = 3^-x-3

 

 

Equate exponents.

 

2x = -x - 3

 

 

Solve this simple equation.