SOLUTION: Rewrite the equation 5 log 10 x + log 10 2 = 3 + y log 10 5 so that it contains no logarithms.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Rewrite the equation 5 log 10 x + log 10 2 = 3 + y log 10 5 so that it contains no logarithms.      Log On


   



Question 622097: Rewrite the equation 5 log 10 x + log 10 2 = 3 + y log 10 5 so that it contains no logarithms.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the equation 5 log 10 x + log 10 2 = 3 + y log 10 5 so that it contains no logarithms
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base=10
5 log x + log 2 = 3 + y log 5
log x^5 + log 2 - log 5^y=3
place under single log
log[(x^5)*2/5^y]=3
convert to exponential form:
10^3=2x^5/5^y
2x^5/5^y=1000