SOLUTION: How do i solve log x 1000 =5 thankyou

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Question 285965: How do i solve log x 1000 =5 thankyou
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
log%28x%2C1000%29+=+5
Make sure you can read this OK.
The best thing, which I always remind myself, is
"logs are exponents"
The equation says: " 5 is the exponent which x is
raised to that gives me 1000, so I can rewrite the
equation as:
x%5E5+=+1000
Now I can take the log to the base 10 of both sides
log%28x%5E5%29+=+log%281000%29
5%2Alog%28x%29+=+3
log%28x%29+=+3%2F5
--
x+=+10%5E%283%2F5%29 answer
------------------
And you can check this:
log%28x%2C1000%29+=+5
x%5E5+=+1000
%2810%5E%283%2F5%29%29%5E5+=+1000
10%5E3+=+1000
1000+=+1000
OK