SOLUTION: Can anyone help me solve this problem? 6^(1-x) = e I start with: in6^(1-x) = in e (1-x) in6 = 1 in6 - xin6 = 1 and now I'm totally lost. The answer is.44 Thanks, Sa

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Can anyone help me solve this problem? 6^(1-x) = e I start with: in6^(1-x) = in e (1-x) in6 = 1 in6 - xin6 = 1 and now I'm totally lost. The answer is.44 Thanks, Sa      Log On


   

Question 20489: Can anyone help me solve this problem?
6^(1-x) = e
I start with:
in6^(1-x) = in e
(1-x) in6 = 1
in6 - xin6 = 1
and now I'm totally lost. The answer is.44
Thanks,
Sandy
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
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Can anyone help me solve this problem?
6^(1-x) = e....OK
I start with:
in6^(1-x) = in e......GOOD..YOU ARE USING IN FOR LOG TO BASE e...THE MORE APPROPRIATE SYMBOL IS ln IMPLYING NATUAL LOGARITHMS THAT IS TO BASE e.
(1-x) in6 = 1.....VERY GOOD
in6 - xin6 = 1.....YOU ARE AT THE END AND SAY YOU ARE LOST NOW????
IF YOU ARE GIVEN A CALCULATOR OR LOG TABLES USE THEM TO FIND THE ANSWER AS GIVEN BELOW OR LEAVE IT WITH TRANSFORMATION AS FOLLOWS
X*LN6=LN6-1
X=(LN6-1)/(LN6)=1-1/LN6
and now I'm totally lost. The answer is.44
LN6 FROM TABLES IS =1.7918
AND WE GET X=0.44