SOLUTION: log1.0 X 10^5 = 5.00 This is from a chemistry textbook. I do not understand how it can equal 5.00. Can someone please explain why and how? Thanks.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log1.0 X 10^5 = 5.00 This is from a chemistry textbook. I do not understand how it can equal 5.00. Can someone please explain why and how? Thanks.      Log On


   



Question 934705: log1.0 X 10^5 = 5.00
This is from a chemistry textbook. I do not understand how it can equal 5.00. Can someone please explain why and how?
Thanks.

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
log1.0 X 10^5 = 5.00
This is from a chemistry textbook. I do not understand how it can equal 5.00.
-----------------------
The log is the exponent. That's 5.
The base is 10.
log%28b%2Cb%5Ex%29+=+x
log%2810%2C10%5E5%29+=+5

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

log1.0 X 10^5 = 5.00
This is from a chemistry textbook. I do not understand how it can equal 5.00. Can someone please explain why and how?
Thanks.

log+1+%2A+10%5E5+=+5
log+1+%2B+log+10%5E5+=+5
log 1 = 10%5E0, or 0, while log+10%5E5 = 5
Therefore, log+1+%2A+10%5E5+=+5 = log+1+%2B+log+10%5E5+=+5 = 0 + 5, or 5