Solve for \( x \) in the equation:
\[
\log_3 \left(\frac{1}{9}\right) = \frac{x}{9}
\]
Answer (3)
l o g 3 ( 9 1 ) = 9 x l o g 3 3 − 2 = 9 x − 2 = 9 x / ⋅ 9 − 18 = x x = − 18
l o g 3 ( 9 1 ) = 9 x l o g 3 3 − 2 = 9 x 3 9 x = 3 − 2 9 x = − 2 x = − 18
The solution for x in the equation lo g 3 ( 9 1 ) = 9 x is x = − 18 . This was determined through properties of logarithms and basic algebra. We converted 9 1 to 3 − 2 and solved the equation accordingly.
;
