SOLUTION: Solve the following exponential equation. Exact answers only. π^1-8x = e^3x Please show work. I'd really like to understand how it's done.

Algebra ->  Functions -> SOLUTION: Solve the following exponential equation. Exact answers only. π^1-8x = e^3x Please show work. I'd really like to understand how it's done.       Log On


   

Question 633907: Solve the following exponential equation. Exact answers only.
π^1-8x = e^3x
Please show work. I'd really like to understand how it's done.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
pi%5E%281-8x%29+=+e%5E%283x%29

ln%28pi%5E%281-8x%29%29+=+ln%28e%5E%283x%29%29

%281-8x%29ln%28pi%29+=+3x%2Aln%28e%29

%281-8x%29ln%28pi%29+=+3x%2A%281%29

%281-8x%29ln%28pi%29+=+3x

ln%28pi%29-8x%2Aln%28pi%29+=+3x

ln%28pi%29+=+3x%2B8x%2Aln%28pi%29

ln%28pi%29+=+x%283%2B8%2Aln%28pi%29%29

ln%28pi%29%2F%283%2B8%2Aln%28pi%29%29+=+x

x+=+ln%28pi%29%2F%283%2B8%2Aln%28pi%29%29

So the answer is x+=+ln%28pi%29%2F%283%2B8%2Aln%28pi%29%29