SOLUTION: My worksheet im working on is about Logarithmic Functions. All it says is to "solve". My problem is 3 to the power of 1+3x = 5 to the power of 1+x. idk how to write it out on the c

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: My worksheet im working on is about Logarithmic Functions. All it says is to "solve". My problem is 3 to the power of 1+3x = 5 to the power of 1+x. idk how to write it out on the c      Log On


   



Question 195857: My worksheet im working on is about Logarithmic Functions. All it says is to "solve". My problem is 3 to the power of 1+3x = 5 to the power of 1+x. idk how to write it out on the computer so i just wrote to the power of.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%281%2B3x%29+=+5%5E%281%2Bx%29
Take the log of both sides
log%283%5E%281%2B3x%29%29+=+log%285%5E%281%2Bx%29%29
%281%2B3x%29log%283%29+=+%281%2Bx%29log%285%29
%281%2B3x%29%280.47712%29+=+%281%2Bx%29%280.69897%29
0.47712+%2B+1.43136x+=+0.69897+%2B+0.69897x
0.73239x+=+0.22185
x+=+0.3029
Test your answer
Does (3^1.9087 = 5^1.3029) ???