SOLUTION: Solve problem exactly log 8 - log x = 2

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Question 4557: Solve problem exactly
log 8 - log x = 2
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Again, I am assuming that "log" refers to log "base 10."

log+%2810%2C+8%29+-+log+%2810%2C+x%29+=+2
log+%2810%2C+%288%2Fx%29%29+=+2

Translate back into exponential notation:
10%5E2+=+8%2Fx+
100+=+8%2Fx

Multiply both sides by x:
100x+=+8

Divide both sides by 100:
x+=+8%2F100 = 2%2F25+ or 0.08

You can check by substituting the value of x=0.08 into a calculator. Surprise--it works!!

R^2 at SCC