Find the value of x in this question.
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x = 2.65 (to 3 significant figures and 3 decimal places)
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=> log (11+4√7)^(1/2) = log (2+x)
=> log [{(11+4√7)^(1/2)} ÷ (2+x)] = 0
=> {(11+4√7)^(1/2)} ÷ (2+x) = 10^0
=> {(11+4√7)^(1/2)} ÷ (2+x) = 1
=> {(11+4√7)^(1/2)} = 2 + x
=> x = {(11+4√7)^(1/2)} - 2
Therefore, x = 2.65