SOLUTION: 4·(7^x) = 5.5(e^ −3x)

Algebra ->  Functions -> SOLUTION: 4·(7^x) = 5.5(e^ −3x)       Log On


   

Question 710715: 4·(7^x) = 5.5(e^ −3x)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4·(7^x) = 5.5(e^ −3x)
4%2A7%5Ex+=+5.5e%5E%28-3x%29
---------
7%5Ex+=+1.375e%5E%28-3x%29
x%2Aln%287%29+=+ln%281.375%29+%2B+%28-3x%29
x%2Aln%287%29+=+ln%281.375%29+-+3x
3x+%2B+x%2Aln%287%29+=+ln%281.375%29
x%2A%283+%2B+ln%287%29%29+=+ln%281.375%29
x+=+ln%281.375%29%2F%283+%2B+ln%287%29%29
x =~ 0.0643873