SOLUTION: Solve for X 10^(x+3)= 5e^(7-x) I have only gotton to here: 2^(x+3)= e^(7-x)

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Question 100433: Solve for X
10^(x+3)= 5e^(7-x)

I have only gotton to here: 2^(x+3)= e^(7-x)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
10%5E%28x+%2B+3%29+=+5%2Ae%5E%287+-+x%29
.
ln%2810%5E%28x+%2B+3%29%29+=+ln%285%2Ae%5E%287+-+x%29%29
.
ln%2810%5E%28x+%2B+3%29%29+=+ln%285%29+%2B+ln%28e%5E%287+-+x%29%29
.
%28x+%2B+3%29ln%2810%29+=+ln%285%29+%2B+7+-+x
.
x%2Aln%2810%29+%2B+3%2Aln%2810%29+=+ln%285%29+%2B+7+-+x
.
x%2Aln%2810%29+%2B+x+=+ln%285%29+%2B+7+-+3%2Aln%2810%29
.
x%28ln%2810%29+%2B+1%29+=+ln%285%29+%2B+7+-+3%2Aln%2810%29
.
x+=+%28ln%285%29+%2B+7+-+3%2Aln%2810%29%29%2F%28ln%2810%29+%2B+1%29
.
x+=+%28ln%285%29+%2B+ln%28e%5E7%29+-+ln%2810%5E3%29%29%2F%28ln%2810%29+%2B+ln%28e%29%29
.
x+=+ln%28e%5E7%2F200%29%2Fln%2810e%29