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Question

log₂(x+5)=(6-x) Find number of solution 

Answer 1

I solve this problem as follows:Log2( X+5) = (6 - X)

x+5 = (2^(6-x)) => ((2^6)/(2^x)) => (64/(2^x)

solving this equation by trial and error I got: x=3

Checking:

log₂(3+5) = (6-3)

log2(8) = (3)

(2^3) = 8

 

CHECK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 2

Log₂( X-5_{) =} 6 - X

 

   X - 5= 2 ^{6 - X}

 

 

   X = 6

 

   6 - 5 = 2^{6 - 6}

 

      1  = 2⁰