SOLUTION: find the solution of the exponential aquation 2^1-x = 19 in ters of logarithms or correct to four decimal places.

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Question 19560: find the solution of the exponential aquation
2^1-x = 19
in ters of logarithms or correct to four decimal places.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E%281-x%29+=+19 Take the log of both sides.
%281-x%29log2+=+log19 Divide both sides of the equation by log2
1-x+=+%28log19%29%2F%28log2%29 Add x to both sides.
1+=+%28log19%29%2F%28log2%29+%2B+x Subtract %28log19%29%2F%28log2%29 from both sides.
1+-+%28log19%29%2F%28log2%29+=+x Evaluate.
x+=+1+-+4.2479
x+=+-3.2479
Check:
2%5E%281-%28-3.2479%29%29+=+2%5E4.2479 = 18.9996