SOLUTION: log(x/100)=1

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Question 355368: log(x/100)=1
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
log(x/100) = 1
This is fairly simple to solve. One way to solve is starts with separating the log into two logs using the property of logarithms: log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29:
log(x) - log(100) = 1
Since 100+=+10%5E2 then log(100) = 2 so now we have:
log(x) - 2 = 1
Now we can isolate the log by adding 2 to each side:
log(x) = 3
At last of all we can rewrite this in exponential form. Since log%28a%2C+%28p%29%29+=+q is equivalent to a%5Eq+=+p in general, your equation is equivalent to:
10%5E3+=+x
which simplifies to
1000 = x