SOLUTION: Solve the equation by expressing each side as a power of the same base and then equating exponents. 3^(6 - 3x) =1/27 a. {9} b. {1/9} c. {-3} d. {3}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve the equation by expressing each side as a power of the same base and then equating exponents. 3^(6 - 3x) =1/27 a. {9} b. {1/9} c. {-3} d. {3}       Log On


   

Question 155635: Solve the equation by expressing each side as a power of the same base and then equating exponents.
3^(6 - 3x) =1/27

a. {9}

b. {1/9}

c. {-3}
d. {3}
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%286+-+3x%29+=1%2F27
then
3%5E%286+-+3x%29+=1%2F%283%5E3%29
then
3%5E%286+-+3x%29+=3%5E%28-3%29
then
6-3x=-3
then
-3x=-9
then
x=3 (correct option is d))