SOLUTION: Hello, How do i solve this equation: 3^x = 1/9 thank you!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, How do i solve this equation: 3^x = 1/9 thank you!      Log On


   

Question 65157This question is from textbook algebra for college students
: Hello,
How do i solve this equation:
3^x = 1/9
thank you! This question is from textbook algebra for college students

Found 2 solutions by funmath, cristiana:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
3%5Ex=1%2F9
3%5Ex=9%5E%28-1%29
3%5Ex=%283%5E2%29%5E%28-1%29
3%5Ex=3%5E%28-2%29 Now that the bases are the same, you can equate their exponents.
highlight%28x=-2%29
Happy Calculating!!!

Answer by cristiana(10) About Me  (Show Source):
You can put this solution on YOUR website!
3%5Ex+=+1%2F9
3%5Ex+=+1%2F3%5E2
For the two expressions to be equal, it obvious that x = -2

Cheers,
Cristiana