SOLUTION: if log(x)=2.3675 and log( y)= 0.9750.find the value of x+y

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Question 916527: if log(x)=2.3675 and log( y)= 0.9750.find the value of x+y
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
log(x)=2.3675 and log( y)= 0.9750.find the value of x+y
Use the principle of changing a log equation into an exponential
equation:

The log equation logB(A) = C

is equivalent to the exponential equation A = BC.

Also use the fact that when no base is written, the base is 
understood to be 10.

So in this problem, log(A) = C is equivalent to A = 10C.

-----------------

log(x) = 2.3675 is equivalent to

x = 102.3675

which by calculator is 233.0773115

AND

log(y) = 0.9750 is equivalent to

y = 100.9750

which by calculator is 9.4406088

THEREFORE

x + y = 233.0773115 + 9.4406088 = 242.5179203 

Edwin