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Maximise the utility u=5*ln(x-1)+ln(y-1) by choosing the consumption bundle (x,y) subject to the budget constraint x+y=10....

Maximise the utility u=5*ln(x-1)+ln(y-1) by choosing the consumption bundle (x,y) subject to the budget constraint x+y=10. Here, ln denotes the natural logarithm, * multiplication, / division, + addition, - subtraction. Ignore the nonnegativity constraints x,y>=0.

Write the quantity x in the utility-maximising consumption bundle (x,y). Write the answer as a number in decimal notation with at least two digits after the decimal point. No fractions, spaces or other symbols.

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