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Real variables x & y...

Real variables x & y are related by the equation

In(2-y)=ln(x-1) + ln(4-x) - x.

(1) give the range of values of x & y for which the expressions on each side of this equation are defined. [2]

(2) Determine y explicitly as a function of x, that is, express the equation in the form y=f(x), simplifying your answer as far as possible. [3]

In(2-y)=ln(x-1) + ln(4-x) - x.

(1) give the range of values of x & y for which the expressions on each side of this equation are defined. [2]

(2) Determine y explicitly as a function of x, that is, express the equation in the form y=f(x), simplifying your answer as far as possible. [3]

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