SOLUTION: ( 27^x^2/9^x)=3 put in logarithm form

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: ( 27^x^2/9^x)=3 put in logarithm form       Log On


   



Question 1075439: ( 27^x^2/9^x)=3 put in logarithm form

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
( 27^x^2/9^x)=3

%2827%5Ex%5E2%2F9%5Ex%29=3

%28%283%5E3%29%5Ex%5E2%2F%283%5E2%29%5Ex%29=3

3%5E%283x%5E2%29%2F3%5E%282x%29=3

3%5E%283x%5E2-2x%29=3

Assuming base 3 is wanted,
3x%5E2-2x=log%283%2C3%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

( 27^x^2/9^x)=3 put in logarithm form
Correct answer: highlight_green%28log+%283%2C+3%29+=+4x%29