Question 916527
log(x)=2.3675 and log( y)= 0.9750.find the value of x+y
<pre>
Use the principle of changing a log equation into an exponential
equation:

The log equation log<sub>B</sub>(A) = C

is equivalent to the exponential equation A = B<sup>C</sup>.

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 = 10<sup>C</sup>.

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

log(x) = 2.3675 is equivalent to

x = 10<sup>2.3675</sup>

which by calculator is 233.0773115

AND

log(y) = 0.9750 is equivalent to

y = 10<sup>0.9750</sup>

which by calculator is 9.4406088

THEREFORE

x + y = 233.0773115 + 9.4406088 = 242.5179203 

Edwin</pre>