<PRE><B>Question 895141</B>
2^(x-1) + 2^(x-1) = 2*2^(x-1)


your formula becomes:


2*2^(x-1) = 2860


divide both sides by 2 to get:


2^(x-1) = 1430


take log of both sides to get:


log(2^(x-1) = log(1430


since log(2^(x-1)) = (x-1)*log(2), your equation becomes:


(x-1)*log(2) = log(1430)


divide both sides by log(2) to get:


x-1 = (1og(1430)/log(2)


add 1 to both sides to get:


x = log(1430)/log(2) + 1


solve for x to get x = 11.48179...


confirm by going back to the original equation to get:


2^(11.28179... - 1) + 2^(11.28179... - 1) = 2860


solve to get:


2860 = 2860.


your answer is that x = 11.48179943...


the value for x was internally stored in my calculator.


all calculations were done using the stored number.


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