SOLUTION: PLEASE HELP! THIS PROBLEM IS DUE AT 11 P.M. PST TONIGHT (10-9-08)!!! Im hoping this is the right forum for this problem. Find the solution of the exponential equation, cor

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: PLEASE HELP! THIS PROBLEM IS DUE AT 11 P.M. PST TONIGHT (10-9-08)!!! Im hoping this is the right forum for this problem. Find the solution of the exponential equation, cor      Log On


   

Question 161301: PLEASE HELP! THIS PROBLEM IS DUE AT 11 P.M. PST TONIGHT (10-9-08)!!!
Im hoping this is the right forum for this problem.

Find the solution of the exponential equation, correct to four decimal places.
8^(x / 2) = 3^(1 - x)
x =____________

Please help! Thanks guys! I appreciate the help!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8^(x / 2) = 3^(1 - x)
x =____________
------------------------
Take the log of both sides to get:
(x/2)log8 = (1-x)log3
0.451545x = log3 - 0.47712x
0.928666x = log3
x = 0.51377...
Cheers,
Stan H.