SOLUTION: Find the exact solution to the exponential equation 2000=20(3)2x. (Do not give a decimal approximation.)

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Question 1000157: Find the exact solution to the exponential equation 2000=20(3)2x. (Do not give a decimal approximation.)
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
I'm thinking you meant
2000=20%283%29%5E%282x%29
If so, divide by 20
100+=+3%5E%282x%29
Now take the log of each side and apply the power rule...
log+100=log%283%5E%282x%29%29
2+=+2x+log+3
Now solve for x...
2x+=+2%2F%28log3%29
x+=+1%2Flog3