SOLUTION: Log x - log 4= -2

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Question 719241: Log x - log 4= -2
Found 3 solutions by jsmallt9, MathTherapy, josgarithmetic:
Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
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Answer by MathTherapy(10858) About Me  (Show Source):
You can put this solution on YOUR website!
Log x - log 4= -2
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log (x) - log (4) = - 2
             log+%28%28x%2F4%29%29+=+-+2 -------- Applying log+%28b%2C+%28c%29%29+-+log+%28b%2C+%28d%29%29 = log+%28b%2C+%28c%2Fd%29%29
                       x%2F4+=+10%5E%28-+2%29 --- Converting from LOGARITHMIC to EXPONENTIAL form 
                       x+=+4%2810%5E%28-+2%29%29 --- Cross-multiplying

Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
Log x - log 4= -2
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log%28%28x%29%29-log%28%284%29%29=-2
log%28%28x%2F4%29%29=-2

assuming common logs
10%5E-2=x%2F4
1%2F100=x%2F4
x=4%2F100
highlight%28x=1%2F25%29